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Finding the Fourth Proportional to 82,381.60, 123,572.40 and 55,943.20

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Solution

The fourth proportional to 82,381.60, 123,572.40 and 55,943.20 is: 83,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,381.60 : 123,572.40 = 55,943.20 : x
  2. Step 2: Convert to fraction form
    82,381.60/123,572.40 = 55,943.20/x
  3. Step 3: Cross multiply
    82,381.60x = 123,572.40 × 55,943.20
  4. Step 4: Simplify right side
    82,381.60x = 6,913,035,487.68
  5. Step 5: Solve for x
    x = 6,913,035,487.68/82,381.60
  6. Step 6: Final answer
    x = 83,914.80

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1.5x scale

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.