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Finding the Fourth Proportional to 47,957.60, 66,209.84 and 42,637.70

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Solution

The fourth proportional to 47,957.60, 66,209.84 and 42,637.70 is: 58,865.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,957.60 : 66,209.84 = 42,637.70 : x
  2. Step 2: Convert to fraction form
    47,957.60/66,209.84 = 42,637.70/x
  3. Step 3: Cross multiply
    47,957.60x = 66,209.84 × 42,637.70
  4. Step 4: Simplify right side
    47,957.60x = 2,823,035,294.97
  5. Step 5: Solve for x
    x = 2,823,035,294.97/47,957.60
  6. Step 6: Final answer
    x = 58,865.23

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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.