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Finding the Fourth Proportional to 51,240.80, 70,691.90 and 31,090.28

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Solution

The fourth proportional to 51,240.80, 70,691.90 and 31,090.28 is: 42,892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,240.80 : 70,691.90 = 31,090.28 : x
  2. Step 2: Convert to fraction form
    51,240.80/70,691.90 = 31,090.28/x
  3. Step 3: Cross multiply
    51,240.80x = 70,691.90 × 31,090.28
  4. Step 4: Simplify right side
    51,240.80x = 2,197,830,964.73
  5. Step 5: Solve for x
    x = 2,197,830,964.73/51,240.80
  6. Step 6: Final answer
    x = 42,892.21

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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.