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Finding the Fourth Proportional to 100,681.08, 151,022.12 and 30,561

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Solution

The fourth proportional to 100,681.08, 151,022.12 and 30,561 is: 45,841.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,681.08 : 151,022.12 = 30,561 : x
  2. Step 2: Convert to fraction form
    100,681.08/151,022.12 = 30,561/x
  3. Step 3: Cross multiply
    100,681.08x = 151,022.12 × 30,561
  4. Step 4: Simplify right side
    100,681.08x = 4,615,387,009.32
  5. Step 5: Solve for x
    x = 4,615,387,009.32/100,681.08
  6. Step 6: Final answer
    x = 45,841.65

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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.