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Finding the Fourth Proportional to 255,750, 383,680.38 and 97,978.46

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Solution

The fourth proportional to 255,750, 383,680.38 and 97,978.46 is: 146,988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,750 : 383,680.38 = 97,978.46 : x
  2. Step 2: Convert to fraction form
    255,750/383,680.38 = 97,978.46/x
  3. Step 3: Cross multiply
    255,750x = 383,680.38 × 97,978.46
  4. Step 4: Simplify right side
    255,750x = 37,592,412,764.61
  5. Step 5: Solve for x
    x = 37,592,412,764.61/255,750
  6. Step 6: Final answer
    x = 146,988.91

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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.