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Finding the Fourth Proportional to 252,148.68, 378,264.60 and 83,670.84

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Solution

The fourth proportional to 252,148.68, 378,264.60 and 83,670.84 is: 125,520.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,148.68 : 378,264.60 = 83,670.84 : x
  2. Step 2: Convert to fraction form
    252,148.68/378,264.60 = 83,670.84/x
  3. Step 3: Cross multiply
    252,148.68x = 378,264.60 × 83,670.84
  4. Step 4: Simplify right side
    252,148.68x = 31,649,716,824.26
  5. Step 5: Solve for x
    x = 31,649,716,824.26/252,148.68
  6. Step 6: Final answer
    x = 125,520.06

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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.