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Finding the Fourth Proportional to 135,795, 187,397.10 and 76,179

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Solution

The fourth proportional to 135,795, 187,397.10 and 76,179 is: 105,127.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,795 : 187,397.10 = 76,179 : x
  2. Step 2: Convert to fraction form
    135,795/187,397.10 = 76,179/x
  3. Step 3: Cross multiply
    135,795x = 187,397.10 × 76,179
  4. Step 4: Simplify right side
    135,795x = 14,275,723,680.90
  5. Step 5: Solve for x
    x = 14,275,723,680.90/135,795
  6. Step 6: Final answer
    x = 105,127.02

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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.