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Finding the Fourth Proportional to 142,551.96, 213,765.66 and 67,693.56

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Solution

The fourth proportional to 142,551.96, 213,765.66 and 67,693.56 is: 101,510.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,551.96 : 213,765.66 = 67,693.56 : x
  2. Step 2: Convert to fraction form
    142,551.96/213,765.66 = 67,693.56/x
  3. Step 3: Cross multiply
    142,551.96x = 213,765.66 × 67,693.56
  4. Step 4: Simplify right side
    142,551.96x = 14,470,558,531.15
  5. Step 5: Solve for x
    x = 14,470,558,531.15/142,551.96
  6. Step 6: Final answer
    x = 101,510.77

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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.