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Finding the Fourth Proportional to 136,538.68, 204,818.28 and 43,042

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Solution

The fourth proportional to 136,538.68, 204,818.28 and 43,042 is: 64,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,538.68 : 204,818.28 = 43,042 : x
  2. Step 2: Convert to fraction form
    136,538.68/204,818.28 = 43,042/x
  3. Step 3: Cross multiply
    136,538.68x = 204,818.28 × 43,042
  4. Step 4: Simplify right side
    136,538.68x = 8,815,788,407.76
  5. Step 5: Solve for x
    x = 8,815,788,407.76/136,538.68
  6. Step 6: Final answer
    x = 64,566.23

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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.