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Finding the Fourth Proportional to 82,865.60, 124,341.60 and 36,123.20

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Solution

The fourth proportional to 82,865.60, 124,341.60 and 36,123.20 is: 54,203.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,865.60 : 124,341.60 = 36,123.20 : x
  2. Step 2: Convert to fraction form
    82,865.60/124,341.60 = 36,123.20/x
  3. Step 3: Cross multiply
    82,865.60x = 124,341.60 × 36,123.20
  4. Step 4: Simplify right side
    82,865.60x = 4,491,616,485.12
  5. Step 5: Solve for x
    x = 4,491,616,485.12/82,865.60
  6. Step 6: Final answer
    x = 54,203.63

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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.