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Finding the Fourth Proportional to 136,241.64, 204,397.02 and 42,748.20

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Solution

The fourth proportional to 136,241.64, 204,397.02 and 42,748.20 is: 64,133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,241.64 : 204,397.02 = 42,748.20 : x
  2. Step 2: Convert to fraction form
    136,241.64/204,397.02 = 42,748.20/x
  3. Step 3: Cross multiply
    136,241.64x = 204,397.02 × 42,748.20
  4. Step 4: Simplify right side
    136,241.64x = 8,737,604,690.36
  5. Step 5: Solve for x
    x = 8,737,604,690.36/136,241.64
  6. Step 6: Final answer
    x = 64,133.14

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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.