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Finding the Fourth Proportional to 137,872.97, 190,264.80 and 77,443.65

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Solution

The fourth proportional to 137,872.97, 190,264.80 and 77,443.65 is: 106,872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,872.97 : 190,264.80 = 77,443.65 : x
  2. Step 2: Convert to fraction form
    137,872.97/190,264.80 = 77,443.65/x
  3. Step 3: Cross multiply
    137,872.97x = 190,264.80 × 77,443.65
  4. Step 4: Simplify right side
    137,872.97x = 14,734,799,433.59
  5. Step 5: Solve for x
    x = 14,734,799,433.59/137,872.97
  6. Step 6: Final answer
    x = 106,872.29

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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.