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Finding the Fourth Proportional to 250,522.64, 345,721.16 and 137,342.96

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Solution

The fourth proportional to 250,522.64, 345,721.16 and 137,342.96 is: 189,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,522.64 : 345,721.16 = 137,342.96 : x
  2. Step 2: Convert to fraction form
    250,522.64/345,721.16 = 137,342.96/x
  3. Step 3: Cross multiply
    250,522.64x = 345,721.16 × 137,342.96
  4. Step 4: Simplify right side
    250,522.64x = 47,482,367,449.03
  5. Step 5: Solve for x
    x = 47,482,367,449.03/250,522.64
  6. Step 6: Final answer
    x = 189,533.24

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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.