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Finding the Fourth Proportional to 214,563,352.51, 321,893,005.16 and 78,248,736.01

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Solution

The fourth proportional to 214,563,352.51, 321,893,005.16 and 78,248,736.01 is: 117,390,600.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,563,352.51 : 321,893,005.16 = 78,248,736.01 : x
  2. Step 2: Convert to fraction form
    214,563,352.51/321,893,005.16 = 78,248,736.01/x
  3. Step 3: Cross multiply
    214,563,352.51x = 321,893,005.16 × 78,248,736.01
  4. Step 4: Simplify right side
    214,563,352.51x = 25,187,720,782,620,944
  5. Step 5: Solve for x
    x = 25,187,720,782,620,944/214,563,352.51
  6. Step 6: Final answer
    x = 117,390,600.44

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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.