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Finding the Fourth Proportional to 145,589.52, 217,978.76 and 74,357.92

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Solution

The fourth proportional to 145,589.52, 217,978.76 and 74,357.92 is: 111,329.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,589.52 : 217,978.76 = 74,357.92 : x
  2. Step 2: Convert to fraction form
    145,589.52/217,978.76 = 74,357.92/x
  3. Step 3: Cross multiply
    145,589.52x = 217,978.76 × 74,357.92
  4. Step 4: Simplify right side
    145,589.52x = 16,208,447,197.78
  5. Step 5: Solve for x
    x = 16,208,447,197.78/145,589.52
  6. Step 6: Final answer
    x = 111,329.77

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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.