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Finding the Fourth Proportional to 253,869.32, 350,333.70 and 140,689.64

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Solution

The fourth proportional to 253,869.32, 350,333.70 and 140,689.64 is: 194,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,869.32 : 350,333.70 = 140,689.64 : x
  2. Step 2: Convert to fraction form
    253,869.32/350,333.70 = 140,689.64/x
  3. Step 3: Cross multiply
    253,869.32x = 350,333.70 × 140,689.64
  4. Step 4: Simplify right side
    253,869.32x = 49,288,322,132.87
  5. Step 5: Solve for x
    x = 49,288,322,132.87/253,869.32
  6. Step 6: Final answer
    x = 194,148.40

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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.