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Finding the Fourth Proportional to 101,978,312.01, 152,967,276.84 and 31,953,901.68

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Solution

The fourth proportional to 101,978,312.01, 152,967,276.84 and 31,953,901.68 is: 47,930,792.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,978,312.01 : 152,967,276.84 = 31,953,901.68 : x
  2. Step 2: Convert to fraction form
    101,978,312.01/152,967,276.84 = 31,953,901.68/x
  3. Step 3: Cross multiply
    101,978,312.01x = 152,967,276.84 × 31,953,901.68
  4. Step 4: Simplify right side
    101,978,312.01x = 4,887,901,324,402,701
  5. Step 5: Solve for x
    x = 4,887,901,324,402,701/101,978,312.01
  6. Step 6: Final answer
    x = 47,930,792.62

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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.