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Finding the Fourth Proportional to 142,765.40, 214,148.10 and 136,204.40

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Solution

The fourth proportional to 142,765.40, 214,148.10 and 136,204.40 is: 204,306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,765.40 : 214,148.10 = 136,204.40 : x
  2. Step 2: Convert to fraction form
    142,765.40/214,148.10 = 136,204.40/x
  3. Step 3: Cross multiply
    142,765.40x = 214,148.10 × 136,204.40
  4. Step 4: Simplify right side
    142,765.40x = 29,167,913,471.64
  5. Step 5: Solve for x
    x = 29,167,913,471.64/142,765.40
  6. Step 6: Final answer
    x = 204,306.60

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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.