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Finding the Fourth Proportional to 103,421.90, 155,132.85 and 77,177.90

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Solution

The fourth proportional to 103,421.90, 155,132.85 and 77,177.90 is: 115,766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,421.90 : 155,132.85 = 77,177.90 : x
  2. Step 2: Convert to fraction form
    103,421.90/155,132.85 = 77,177.90/x
  3. Step 3: Cross multiply
    103,421.90x = 155,132.85 × 77,177.90
  4. Step 4: Simplify right side
    103,421.90x = 11,972,827,584.02
  5. Step 5: Solve for x
    x = 11,972,827,584.02/103,421.90
  6. Step 6: Final answer
    x = 115,766.85

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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.