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Finding the Fourth Proportional to 128,000.24, 176,640.84 and 71,414

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Solution

The fourth proportional to 128,000.24, 176,640.84 and 71,414 is: 98,551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,000.24 : 176,640.84 = 71,414 : x
  2. Step 2: Convert to fraction form
    128,000.24/176,640.84 = 71,414/x
  3. Step 3: Cross multiply
    128,000.24x = 176,640.84 × 71,414
  4. Step 4: Simplify right side
    128,000.24x = 12,614,628,947.76
  5. Step 5: Solve for x
    x = 12,614,628,947.76/128,000.24
  6. Step 6: Final answer
    x = 98,551.60

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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.