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Finding the Fourth Proportional to 128,013.56, 176,616.58 and 82,718.24

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Solution

The fourth proportional to 128,013.56, 176,616.58 and 82,718.24 is: 114,123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,013.56 : 176,616.58 = 82,718.24 : x
  2. Step 2: Convert to fraction form
    128,013.56/176,616.58 = 82,718.24/x
  3. Step 3: Cross multiply
    128,013.56x = 176,616.58 × 82,718.24
  4. Step 4: Simplify right side
    128,013.56x = 14,609,412,652.42
  5. Step 5: Solve for x
    x = 14,609,412,652.42/128,013.56
  6. Step 6: Final answer
    x = 114,123.95

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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.