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Finding the Fourth Proportional to 57,712.80, 81,031.20 and 57,712.80

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Solution

The fourth proportional to 57,712.80, 81,031.20 and 57,712.80 is: 81,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,712.80 : 81,031.20 = 57,712.80 : x
  2. Step 2: Convert to fraction form
    57,712.80/81,031.20 = 57,712.80/x
  3. Step 3: Cross multiply
    57,712.80x = 81,031.20 × 57,712.80
  4. Step 4: Simplify right side
    57,712.80x = 4,676,537,439.36
  5. Step 5: Solve for x
    x = 4,676,537,439.36/57,712.80
  6. Step 6: Final answer
    x = 81,031.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.