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Finding the Fourth Proportional to 85,424.20, 128,136.30 and 77,129.80

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Solution

The fourth proportional to 85,424.20, 128,136.30 and 77,129.80 is: 115,694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,424.20 : 128,136.30 = 77,129.80 : x
  2. Step 2: Convert to fraction form
    85,424.20/128,136.30 = 77,129.80/x
  3. Step 3: Cross multiply
    85,424.20x = 128,136.30 × 77,129.80
  4. Step 4: Simplify right side
    85,424.20x = 9,883,127,191.74
  5. Step 5: Solve for x
    x = 9,883,127,191.74/85,424.20
  6. Step 6: Final answer
    x = 115,694.70

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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.