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Finding the Fourth Proportional to 78,463.12, 108,276.48 and 42,652.48

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Solution

The fourth proportional to 78,463.12, 108,276.48 and 42,652.48 is: 58,859.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,463.12 : 108,276.48 = 42,652.48 : x
  2. Step 2: Convert to fraction form
    78,463.12/108,276.48 = 42,652.48/x
  3. Step 3: Cross multiply
    78,463.12x = 108,276.48 × 42,652.48
  4. Step 4: Simplify right side
    78,463.12x = 4,618,260,397.67
  5. Step 5: Solve for x
    x = 4,618,260,397.67/78,463.12
  6. Step 6: Final answer
    x = 58,859.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.