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Finding the Fourth Proportional to 224,586.32, 309,921 and 123,982.16

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Solution

The fourth proportional to 224,586.32, 309,921 and 123,982.16 is: 171,090.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,586.32 : 309,921 = 123,982.16 : x
  2. Step 2: Convert to fraction form
    224,586.32/309,921 = 123,982.16/x
  3. Step 3: Cross multiply
    224,586.32x = 309,921 × 123,982.16
  4. Step 4: Simplify right side
    224,586.32x = 38,424,675,009.36
  5. Step 5: Solve for x
    x = 38,424,675,009.36/224,586.32
  6. Step 6: Final answer
    x = 171,090.90

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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.