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Finding the Fourth Proportional to 56,082.90, 77,394.02 and 30,932.40

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Solution

The fourth proportional to 56,082.90, 77,394.02 and 30,932.40 is: 42,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,082.90 : 77,394.02 = 30,932.40 : x
  2. Step 2: Convert to fraction form
    56,082.90/77,394.02 = 30,932.40/x
  3. Step 3: Cross multiply
    56,082.90x = 77,394.02 × 30,932.40
  4. Step 4: Simplify right side
    56,082.90x = 2,393,982,784.25
  5. Step 5: Solve for x
    x = 2,393,982,784.25/56,082.90
  6. Step 6: Final answer
    x = 42,686.50

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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.