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Finding the Fourth Proportional to 136,169.50, 187,913.92 and 76,553.50

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Solution

The fourth proportional to 136,169.50, 187,913.92 and 76,553.50 is: 105,643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,169.50 : 187,913.92 = 76,553.50 : x
  2. Step 2: Convert to fraction form
    136,169.50/187,913.92 = 76,553.50/x
  3. Step 3: Cross multiply
    136,169.50x = 187,913.92 × 76,553.50
  4. Step 4: Simplify right side
    136,169.50x = 14,385,468,274.72
  5. Step 5: Solve for x
    x = 14,385,468,274.72/136,169.50
  6. Step 6: Final answer
    x = 105,643.84

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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.