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Finding the Fourth Proportional to 123,496, 185,243.84 and 30,001.60

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Solution

The fourth proportional to 123,496, 185,243.84 and 30,001.60 is: 45,002.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,496 : 185,243.84 = 30,001.60 : x
  2. Step 2: Convert to fraction form
    123,496/185,243.84 = 30,001.60/x
  3. Step 3: Cross multiply
    123,496x = 185,243.84 × 30,001.60
  4. Step 4: Simplify right side
    123,496x = 5,557,611,590.14
  5. Step 5: Solve for x
    x = 5,557,611,590.14/123,496
  6. Step 6: Final answer
    x = 45,002.36

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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.