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Finding the Fourth Proportional to 128,909.52, 193,369.53 and 61,406.86

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Solution

The fourth proportional to 128,909.52, 193,369.53 and 61,406.86 is: 92,112.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,909.52 : 193,369.53 = 61,406.86 : x
  2. Step 2: Convert to fraction form
    128,909.52/193,369.53 = 61,406.86/x
  3. Step 3: Cross multiply
    128,909.52x = 193,369.53 × 61,406.86
  4. Step 4: Simplify right side
    128,909.52x = 11,874,215,656.98
  5. Step 5: Solve for x
    x = 11,874,215,656.98/128,909.52
  6. Step 6: Final answer
    x = 92,112.79

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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.