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Finding the Fourth Proportional to 75,311.73, 112,789.47 and 65,397.12

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Solution

The fourth proportional to 75,311.73, 112,789.47 and 65,397.12 is: 97,941.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,311.73 : 112,789.47 = 65,397.12 : x
  2. Step 2: Convert to fraction form
    75,311.73/112,789.47 = 65,397.12/x
  3. Step 3: Cross multiply
    75,311.73x = 112,789.47 × 65,397.12
  4. Step 4: Simplify right side
    75,311.73x = 7,376,106,504.33
  5. Step 5: Solve for x
    x = 7,376,106,504.33/75,311.73
  6. Step 6: Final answer
    x = 97,941.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.