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Finding the Fourth Proportional to 75,442.50, 113,014.30 and 51,691.68

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Solution

The fourth proportional to 75,442.50, 113,014.30 and 51,691.68 is: 77,435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,442.50 : 113,014.30 = 51,691.68 : x
  2. Step 2: Convert to fraction form
    75,442.50/113,014.30 = 51,691.68/x
  3. Step 3: Cross multiply
    75,442.50x = 113,014.30 × 51,691.68
  4. Step 4: Simplify right side
    75,442.50x = 5,841,899,031.02
  5. Step 5: Solve for x
    x = 5,841,899,031.02/75,442.50
  6. Step 6: Final answer
    x = 77,435.12

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