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Finding the Fourth Proportional to 77,187.60, 115,781.40 and 32,815.80

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Solution

The fourth proportional to 77,187.60, 115,781.40 and 32,815.80 is: 49,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,187.60 : 115,781.40 = 32,815.80 : x
  2. Step 2: Convert to fraction form
    77,187.60/115,781.40 = 32,815.80/x
  3. Step 3: Cross multiply
    77,187.60x = 115,781.40 × 32,815.80
  4. Step 4: Simplify right side
    77,187.60x = 3,799,459,266.12
  5. Step 5: Solve for x
    x = 3,799,459,266.12/77,187.60
  6. Step 6: Final answer
    x = 49,223.70

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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.