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Finding the Fourth Proportional to 154,729.53, 232,111.66 and 138,836.86

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Solution

The fourth proportional to 154,729.53, 232,111.66 and 138,836.86 is: 208,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,729.53 : 232,111.66 = 138,836.86 : x
  2. Step 2: Convert to fraction form
    154,729.53/232,111.66 = 138,836.86/x
  3. Step 3: Cross multiply
    154,729.53x = 232,111.66 × 138,836.86
  4. Step 4: Simplify right side
    154,729.53x = 32,225,654,043.79
  5. Step 5: Solve for x
    x = 32,225,654,043.79/154,729.53
  6. Step 6: Final answer
    x = 208,270.87

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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.