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Finding the Fourth Proportional to 100,818.40, 151,220.31 and 48,213.76

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Solution

The fourth proportional to 100,818.40, 151,220.31 and 48,213.76 is: 72,317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,818.40 : 151,220.31 = 48,213.76 : x
  2. Step 2: Convert to fraction form
    100,818.40/151,220.31 = 48,213.76/x
  3. Step 3: Cross multiply
    100,818.40x = 151,220.31 × 48,213.76
  4. Step 4: Simplify right side
    100,818.40x = 7,290,899,733.47
  5. Step 5: Solve for x
    x = 7,290,899,733.47/100,818.40
  6. Step 6: Final answer
    x = 72,317.15

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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.