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Finding the Fourth Proportional to 100,972.68, 151,291.62 and 61,410.12

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Solution

The fourth proportional to 100,972.68, 151,291.62 and 61,410.12 is: 92,013.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,972.68 : 151,291.62 = 61,410.12 : x
  2. Step 2: Convert to fraction form
    100,972.68/151,291.62 = 61,410.12/x
  3. Step 3: Cross multiply
    100,972.68x = 151,291.62 × 61,410.12
  4. Step 4: Simplify right side
    100,972.68x = 9,290,836,539.19
  5. Step 5: Solve for x
    x = 9,290,836,539.19/100,972.68
  6. Step 6: Final answer
    x = 92,013.37

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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.