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Finding the Fourth Proportional to 100,034.10, 149,723.10 and 77,726.70

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Solution

The fourth proportional to 100,034.10, 149,723.10 and 77,726.70 is: 116,335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,034.10 : 149,723.10 = 77,726.70 : x
  2. Step 2: Convert to fraction form
    100,034.10/149,723.10 = 77,726.70/x
  3. Step 3: Cross multiply
    100,034.10x = 149,723.10 × 77,726.70
  4. Step 4: Simplify right side
    100,034.10x = 11,637,482,476.77
  5. Step 5: Solve for x
    x = 11,637,482,476.77/100,034.10
  6. Step 6: Final answer
    x = 116,335.15

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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.