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Finding the Fourth Proportional to 100,781.34, 151,166.58 and 30,655.20

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Solution

The fourth proportional to 100,781.34, 151,166.58 and 30,655.20 is: 45,981.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,781.34 : 151,166.58 = 30,655.20 : x
  2. Step 2: Convert to fraction form
    100,781.34/151,166.58 = 30,655.20/x
  3. Step 3: Cross multiply
    100,781.34x = 151,166.58 × 30,655.20
  4. Step 4: Simplify right side
    100,781.34x = 4,634,041,743.22
  5. Step 5: Solve for x
    x = 4,634,041,743.22/100,781.34
  6. Step 6: Final answer
    x = 45,981.15

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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.