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Finding the Fourth Proportional to 475,105.96, 712,679.68 and 138,139.16

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Solution

The fourth proportional to 475,105.96, 712,679.68 and 138,139.16 is: 207,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,105.96 : 712,679.68 = 138,139.16 : x
  2. Step 2: Convert to fraction form
    475,105.96/712,679.68 = 138,139.16/x
  3. Step 3: Cross multiply
    475,105.96x = 712,679.68 × 138,139.16
  4. Step 4: Simplify right side
    475,105.96x = 98,448,972,344.27
  5. Step 5: Solve for x
    x = 98,448,972,344.27/475,105.96
  6. Step 6: Final answer
    x = 207,214.77

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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.