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Finding the Fourth Proportional to 224,000.10, 309,120 and 123,398.10

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Solution

The fourth proportional to 224,000.10, 309,120 and 123,398.10 is: 170,289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,000.10 : 309,120 = 123,398.10 : x
  2. Step 2: Convert to fraction form
    224,000.10/309,120 = 123,398.10/x
  3. Step 3: Cross multiply
    224,000.10x = 309,120 × 123,398.10
  4. Step 4: Simplify right side
    224,000.10x = 38,144,820,672
  5. Step 5: Solve for x
    x = 38,144,820,672/224,000.10
  6. Step 6: Final answer
    x = 170,289.30

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1.5x scale

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.