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Finding the Fourth Proportional to 261,314.28, 391,860.81 and 83,724.48

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Solution

The fourth proportional to 261,314.28, 391,860.81 and 83,724.48 is: 125,551.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,314.28 : 391,860.81 = 83,724.48 : x
  2. Step 2: Convert to fraction form
    261,314.28/391,860.81 = 83,724.48/x
  3. Step 3: Cross multiply
    261,314.28x = 391,860.81 × 83,724.48
  4. Step 4: Simplify right side
    261,314.28x = 32,808,342,549.63
  5. Step 5: Solve for x
    x = 32,808,342,549.63/261,314.28
  6. Step 6: Final answer
    x = 125,551.28

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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.