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Finding the Fourth Proportional to 261,050, 391,624 and 83,509.34

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Solution

The fourth proportional to 261,050, 391,624 and 83,509.34 is: 125,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,050 : 391,624 = 83,509.34 : x
  2. Step 2: Convert to fraction form
    261,050/391,624 = 83,509.34/x
  3. Step 3: Cross multiply
    261,050x = 391,624 × 83,509.34
  4. Step 4: Simplify right side
    261,050x = 32,704,261,768.16
  5. Step 5: Solve for x
    x = 32,704,261,768.16/261,050
  6. Step 6: Final answer
    x = 125,279.68

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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.