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Finding the Fourth Proportional to 137,159.88, 205,747.85 and 52,920.49

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Solution

The fourth proportional to 137,159.88, 205,747.85 and 52,920.49 is: 79,383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,159.88 : 205,747.85 = 52,920.49 : x
  2. Step 2: Convert to fraction form
    137,159.88/205,747.85 = 52,920.49/x
  3. Step 3: Cross multiply
    137,159.88x = 205,747.85 × 52,920.49
  4. Step 4: Simplify right side
    137,159.88x = 10,888,276,744.48
  5. Step 5: Solve for x
    x = 10,888,276,744.48/137,159.88
  6. Step 6: Final answer
    x = 79,383.83

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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.