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Finding the Fourth Proportional to 255,650, 383,531.25 and 75,721.46

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Solution

The fourth proportional to 255,650, 383,531.25 and 75,721.46 is: 113,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,650 : 383,531.25 = 75,721.46 : x
  2. Step 2: Convert to fraction form
    255,650/383,531.25 = 75,721.46/x
  3. Step 3: Cross multiply
    255,650x = 383,531.25 × 75,721.46
  4. Step 4: Simplify right side
    255,650x = 29,041,546,205.63
  5. Step 5: Solve for x
    x = 29,041,546,205.63/255,650
  6. Step 6: Final answer
    x = 113,598.85

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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.