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Finding the Fourth Proportional to 106,793.40, 147,472.74 and 85,726.92

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Solution

The fourth proportional to 106,793.40, 147,472.74 and 85,726.92 is: 118,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,793.40 : 147,472.74 = 85,726.92 : x
  2. Step 2: Convert to fraction form
    106,793.40/147,472.74 = 85,726.92/x
  3. Step 3: Cross multiply
    106,793.40x = 147,472.74 × 85,726.92
  4. Step 4: Simplify right side
    106,793.40x = 12,642,383,784.16
  5. Step 5: Solve for x
    x = 12,642,383,784.16/106,793.40
  6. Step 6: Final answer
    x = 118,381.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.