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Finding the Fourth Proportional to 136,254.96, 204,402.96 and 42,768

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Solution

The fourth proportional to 136,254.96, 204,402.96 and 42,768 is: 64,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,254.96 : 204,402.96 = 42,768 : x
  2. Step 2: Convert to fraction form
    136,254.96/204,402.96 = 42,768/x
  3. Step 3: Cross multiply
    136,254.96x = 204,402.96 × 42,768
  4. Step 4: Simplify right side
    136,254.96x = 8,741,905,793.28
  5. Step 5: Solve for x
    x = 8,741,905,793.28/136,254.96
  6. Step 6: Final answer
    x = 64,158.44

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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.