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Finding the Fourth Proportional to 261,065.63, 391,406.91 and 83,470.43

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Solution

The fourth proportional to 261,065.63, 391,406.91 and 83,470.43 is: 125,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,065.63 : 391,406.91 = 83,470.43 : x
  2. Step 2: Convert to fraction form
    261,065.63/391,406.91 = 83,470.43/x
  3. Step 3: Cross multiply
    261,065.63x = 391,406.91 × 83,470.43
  4. Step 4: Simplify right side
    261,065.63x = 32,670,903,082.67
  5. Step 5: Solve for x
    x = 32,670,903,082.67/261,065.63
  6. Step 6: Final answer
    x = 125,144.41

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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.