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Finding the Fourth Proportional to 100,866.78, 151,322.85 and 30,753.18

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Solution

The fourth proportional to 100,866.78, 151,322.85 and 30,753.18 is: 46,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,866.78 : 151,322.85 = 30,753.18 : x
  2. Step 2: Convert to fraction form
    100,866.78/151,322.85 = 30,753.18/x
  3. Step 3: Cross multiply
    100,866.78x = 151,322.85 × 30,753.18
  4. Step 4: Simplify right side
    100,866.78x = 4,653,658,844.16
  5. Step 5: Solve for x
    x = 4,653,658,844.16/100,866.78
  6. Step 6: Final answer
    x = 46,136.68

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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.