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Finding the Fourth Proportional to 150,687.84, 207,966.96 and 83,624.16

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Solution

The fourth proportional to 150,687.84, 207,966.96 and 83,624.16 is: 115,411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,687.84 : 207,966.96 = 83,624.16 : x
  2. Step 2: Convert to fraction form
    150,687.84/207,966.96 = 83,624.16/x
  3. Step 3: Cross multiply
    150,687.84x = 207,966.96 × 83,624.16
  4. Step 4: Simplify right side
    150,687.84x = 17,391,062,337.75
  5. Step 5: Solve for x
    x = 17,391,062,337.75/150,687.84
  6. Step 6: Final answer
    x = 115,411.19

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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.