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Finding the Fourth Proportional to 136,753.70, 205,151.06 and 47,991.57

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Solution

The fourth proportional to 136,753.70, 205,151.06 and 47,991.57 is: 71,994.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,753.70 : 205,151.06 = 47,991.57 : x
  2. Step 2: Convert to fraction form
    136,753.70/205,151.06 = 47,991.57/x
  3. Step 3: Cross multiply
    136,753.70x = 205,151.06 × 47,991.57
  4. Step 4: Simplify right side
    136,753.70x = 9,845,521,216.61
  5. Step 5: Solve for x
    x = 9,845,521,216.61/136,753.70
  6. Step 6: Final answer
    x = 71,994.55

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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.