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Finding the Fourth Proportional to 142,750.78, 214,126.32 and 42,910.96

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Solution

The fourth proportional to 142,750.78, 214,126.32 and 42,910.96 is: 64,366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,750.78 : 214,126.32 = 42,910.96 : x
  2. Step 2: Convert to fraction form
    142,750.78/214,126.32 = 42,910.96/x
  3. Step 3: Cross multiply
    142,750.78x = 214,126.32 × 42,910.96
  4. Step 4: Simplify right side
    142,750.78x = 9,188,366,446.16
  5. Step 5: Solve for x
    x = 9,188,366,446.16/142,750.78
  6. Step 6: Final answer
    x = 64,366.49

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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.