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Finding the Fourth Proportional to 253,864.50, 350,335.44 and 140,689.68

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Solution

The fourth proportional to 253,864.50, 350,335.44 and 140,689.68 is: 194,153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,864.50 : 350,335.44 = 140,689.68 : x
  2. Step 2: Convert to fraction form
    253,864.50/350,335.44 = 140,689.68/x
  3. Step 3: Cross multiply
    253,864.50x = 350,335.44 × 140,689.68
  4. Step 4: Simplify right side
    253,864.50x = 49,288,580,946.26
  5. Step 5: Solve for x
    x = 49,288,580,946.26/253,864.50
  6. Step 6: Final answer
    x = 194,153.11

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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.