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Finding the Fourth Proportional to 475,101.90, 712,699.20 and 138,145.14

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Solution

The fourth proportional to 475,101.90, 712,699.20 and 138,145.14 is: 207,231.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,101.90 : 712,699.20 = 138,145.14 : x
  2. Step 2: Convert to fraction form
    475,101.90/712,699.20 = 138,145.14/x
  3. Step 3: Cross multiply
    475,101.90x = 712,699.20 × 138,145.14
  4. Step 4: Simplify right side
    475,101.90x = 98,455,930,761.89
  5. Step 5: Solve for x
    x = 98,455,930,761.89/475,101.90
  6. Step 6: Final answer
    x = 207,231.19

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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.