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Finding the Fourth Proportional to 100,971.68, 151,290.12 and 61,409.12

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Solution

The fourth proportional to 100,971.68, 151,290.12 and 61,409.12 is: 92,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,971.68 : 151,290.12 = 61,409.12 : x
  2. Step 2: Convert to fraction form
    100,971.68/151,290.12 = 61,409.12/x
  3. Step 3: Cross multiply
    100,971.68x = 151,290.12 × 61,409.12
  4. Step 4: Simplify right side
    100,971.68x = 9,290,593,133.89
  5. Step 5: Solve for x
    x = 9,290,593,133.89/100,971.68
  6. Step 6: Final answer
    x = 92,011.87

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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.