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Finding the Fourth Proportional to 123,684.84, 170,824.14 and 83,327.94

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Solution

The fourth proportional to 123,684.84, 170,824.14 and 83,327.94 is: 115,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,684.84 : 170,824.14 = 83,327.94 : x
  2. Step 2: Convert to fraction form
    123,684.84/170,824.14 = 83,327.94/x
  3. Step 3: Cross multiply
    123,684.84x = 170,824.14 × 83,327.94
  4. Step 4: Simplify right side
    123,684.84x = 14,234,423,688.47
  5. Step 5: Solve for x
    x = 14,234,423,688.47/123,684.84
  6. Step 6: Final answer
    x = 115,086.24

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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.