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Finding the Fourth Proportional to 214,563,353.07, 321,893,006.01 and 78,248,736.57

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Solution

The fourth proportional to 214,563,353.07, 321,893,006.01 and 78,248,736.57 is: 117,390,601.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,563,353.07 : 321,893,006.01 = 78,248,736.57 : x
  2. Step 2: Convert to fraction form
    214,563,353.07/321,893,006.01 = 78,248,736.57/x
  3. Step 3: Cross multiply
    214,563,353.07x = 321,893,006.01 × 78,248,736.57
  4. Step 4: Simplify right side
    214,563,353.07x = 25,187,721,030,610,672
  5. Step 5: Solve for x
    x = 25,187,721,030,610,672/214,563,353.07
  6. Step 6: Final answer
    x = 117,390,601.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.