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Finding the Fourth Proportional to 136,158, 187,898.04 and 76,542

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Solution

The fourth proportional to 136,158, 187,898.04 and 76,542 is: 105,627.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,158 : 187,898.04 = 76,542 : x
  2. Step 2: Convert to fraction form
    136,158/187,898.04 = 76,542/x
  3. Step 3: Cross multiply
    136,158x = 187,898.04 × 76,542
  4. Step 4: Simplify right side
    136,158x = 14,382,091,777.68
  5. Step 5: Solve for x
    x = 14,382,091,777.68/136,158
  6. Step 6: Final answer
    x = 105,627.96

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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.