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Finding the Fourth Proportional to 82,318.40, 123,477.60 and 72,641.60

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Solution

The fourth proportional to 82,318.40, 123,477.60 and 72,641.60 is: 108,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,318.40 : 123,477.60 = 72,641.60 : x
  2. Step 2: Convert to fraction form
    82,318.40/123,477.60 = 72,641.60/x
  3. Step 3: Cross multiply
    82,318.40x = 123,477.60 × 72,641.60
  4. Step 4: Simplify right side
    82,318.40x = 8,969,610,428.16
  5. Step 5: Solve for x
    x = 8,969,610,428.16/82,318.40
  6. Step 6: Final answer
    x = 108,962.40

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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.