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Finding the Fourth Proportional to 142,099.57, 213,153 and 67,254.76

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Solution

The fourth proportional to 142,099.57, 213,153 and 67,254.76 is: 100,883.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,099.57 : 213,153 = 67,254.76 : x
  2. Step 2: Convert to fraction form
    142,099.57/213,153 = 67,254.76/x
  3. Step 3: Cross multiply
    142,099.57x = 213,153 × 67,254.76
  4. Step 4: Simplify right side
    142,099.57x = 14,335,553,858.28
  5. Step 5: Solve for x
    x = 14,335,553,858.28/142,099.57
  6. Step 6: Final answer
    x = 100,883.87

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1.5x scale

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.