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Finding the Fourth Proportional to 55,337.60, 82,876.80 and 42,118.40

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Solution

The fourth proportional to 55,337.60, 82,876.80 and 42,118.40 is: 63,078.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,337.60 : 82,876.80 = 42,118.40 : x
  2. Step 2: Convert to fraction form
    55,337.60/82,876.80 = 42,118.40/x
  3. Step 3: Cross multiply
    55,337.60x = 82,876.80 × 42,118.40
  4. Step 4: Simplify right side
    55,337.60x = 3,490,638,213.12
  5. Step 5: Solve for x
    x = 3,490,638,213.12/55,337.60
  6. Step 6: Final answer
    x = 63,078.96

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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.