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Finding the Fourth Proportional to 135,510, 187,003.80 and 75,894

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Solution

The fourth proportional to 135,510, 187,003.80 and 75,894 is: 104,733.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,510 : 187,003.80 = 75,894 : x
  2. Step 2: Convert to fraction form
    135,510/187,003.80 = 75,894/x
  3. Step 3: Cross multiply
    135,510x = 187,003.80 × 75,894
  4. Step 4: Simplify right side
    135,510x = 14,192,466,397.20
  5. Step 5: Solve for x
    x = 14,192,466,397.20/135,510
  6. Step 6: Final answer
    x = 104,733.72

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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.