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Finding the Fourth Proportional to 82,905.60, 124,358.40 and 53,356.80

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Solution

The fourth proportional to 82,905.60, 124,358.40 and 53,356.80 is: 80,035.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,905.60 : 124,358.40 = 53,356.80 : x
  2. Step 2: Convert to fraction form
    82,905.60/124,358.40 = 53,356.80/x
  3. Step 3: Cross multiply
    82,905.60x = 124,358.40 × 53,356.80
  4. Step 4: Simplify right side
    82,905.60x = 6,635,366,277.12
  5. Step 5: Solve for x
    x = 6,635,366,277.12/82,905.60
  6. Step 6: Final answer
    x = 80,035.20

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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.