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Finding the Fourth Proportional to 106,472.64, 159,819.53 and 78,424.23

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Solution

The fourth proportional to 106,472.64, 159,819.53 and 78,424.23 is: 117,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,472.64 : 159,819.53 = 78,424.23 : x
  2. Step 2: Convert to fraction form
    106,472.64/159,819.53 = 78,424.23/x
  3. Step 3: Cross multiply
    106,472.64x = 159,819.53 × 78,424.23
  4. Step 4: Simplify right side
    106,472.64x = 12,533,723,187.09
  5. Step 5: Solve for x
    x = 12,533,723,187.09/106,472.64
  6. Step 6: Final answer
    x = 117,717.78

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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.