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Finding the Fourth Proportional to 136,248.63, 204,405.77 and 42,754.38

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Solution

The fourth proportional to 136,248.63, 204,405.77 and 42,754.38 is: 64,141.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,248.63 : 204,405.77 = 42,754.38 : x
  2. Step 2: Convert to fraction form
    136,248.63/204,405.77 = 42,754.38/x
  3. Step 3: Cross multiply
    136,248.63x = 204,405.77 × 42,754.38
  4. Step 4: Simplify right side
    136,248.63x = 8,739,241,964.77
  5. Step 5: Solve for x
    x = 8,739,241,964.77/136,248.63
  6. Step 6: Final answer
    x = 64,141.87

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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.