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Finding the Fourth Proportional to 100,969.68, 151,287.12 and 61,407.12

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Solution

The fourth proportional to 100,969.68, 151,287.12 and 61,407.12 is: 92,008.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,969.68 : 151,287.12 = 61,407.12 : x
  2. Step 2: Convert to fraction form
    100,969.68/151,287.12 = 61,407.12/x
  3. Step 3: Cross multiply
    100,969.68x = 151,287.12 × 61,407.12
  4. Step 4: Simplify right side
    100,969.68x = 9,290,106,332.29
  5. Step 5: Solve for x
    x = 9,290,106,332.29/100,969.68
  6. Step 6: Final answer
    x = 92,008.87

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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.