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Finding the Fourth Proportional to 103,748.40, 155,403.90 and 86,252.40

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Solution

The fourth proportional to 103,748.40, 155,403.90 and 86,252.40 is: 129,196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,748.40 : 155,403.90 = 86,252.40 : x
  2. Step 2: Convert to fraction form
    103,748.40/155,403.90 = 86,252.40/x
  3. Step 3: Cross multiply
    103,748.40x = 155,403.90 × 86,252.40
  4. Step 4: Simplify right side
    103,748.40x = 13,403,959,344.36
  5. Step 5: Solve for x
    x = 13,403,959,344.36/103,748.40
  6. Step 6: Final answer
    x = 129,196.78

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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.