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Finding the Fourth Proportional to 224,387.48, 309,633.18 and 123,779

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Solution

The fourth proportional to 224,387.48, 309,633.18 and 123,779 is: 170,803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,387.48 : 309,633.18 = 123,779 : x
  2. Step 2: Convert to fraction form
    224,387.48/309,633.18 = 123,779/x
  3. Step 3: Cross multiply
    224,387.48x = 309,633.18 × 123,779
  4. Step 4: Simplify right side
    224,387.48x = 38,326,085,387.22
  5. Step 5: Solve for x
    x = 38,326,085,387.22/224,387.48
  6. Step 6: Final answer
    x = 170,803.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.