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Finding the Fourth Proportional to 75,134.86, 103,598.12 and 59,978.95

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Solution

The fourth proportional to 75,134.86, 103,598.12 and 59,978.95 is: 82,700.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,134.86 : 103,598.12 = 59,978.95 : x
  2. Step 2: Convert to fraction form
    75,134.86/103,598.12 = 59,978.95/x
  3. Step 3: Cross multiply
    75,134.86x = 103,598.12 × 59,978.95
  4. Step 4: Simplify right side
    75,134.86x = 6,213,706,350.53
  5. Step 5: Solve for x
    x = 6,213,706,350.53/75,134.86
  6. Step 6: Final answer
    x = 82,700.71

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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.