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Finding the Fourth Proportional to 102,136.80, 140,948.40 and 59,686.92

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Solution

The fourth proportional to 102,136.80, 140,948.40 and 59,686.92 is: 82,367.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,136.80 : 140,948.40 = 59,686.92 : x
  2. Step 2: Convert to fraction form
    102,136.80/140,948.40 = 59,686.92/x
  3. Step 3: Cross multiply
    102,136.80x = 140,948.40 × 59,686.92
  4. Step 4: Simplify right side
    102,136.80x = 8,412,775,874.93
  5. Step 5: Solve for x
    x = 8,412,775,874.93/102,136.80
  6. Step 6: Final answer
    x = 82,367.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.