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Finding the Fourth Proportional to 224,000.16, 309,120.08 and 123,398.16

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Solution

The fourth proportional to 224,000.16, 309,120.08 and 123,398.16 is: 170,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,000.16 : 309,120.08 = 123,398.16 : x
  2. Step 2: Convert to fraction form
    224,000.16/309,120.08 = 123,398.16/x
  3. Step 3: Cross multiply
    224,000.16x = 309,120.08 × 123,398.16
  4. Step 4: Simplify right side
    224,000.16x = 38,144,847,236.96
  5. Step 5: Solve for x
    x = 38,144,847,236.96/224,000.16
  6. Step 6: Final answer
    x = 170,289.38

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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.