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Finding the Fourth Proportional to 170,624.84, 256,091.56 and 86,443.16

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Solution

The fourth proportional to 170,624.84, 256,091.56 and 86,443.16 is: 129,742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,624.84 : 256,091.56 = 86,443.16 : x
  2. Step 2: Convert to fraction form
    170,624.84/256,091.56 = 86,443.16/x
  3. Step 3: Cross multiply
    170,624.84x = 256,091.56 × 86,443.16
  4. Step 4: Simplify right side
    170,624.84x = 22,137,363,695.73
  5. Step 5: Solve for x
    x = 22,137,363,695.73/170,624.84
  6. Step 6: Final answer
    x = 129,742.91

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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.