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Finding the Fourth Proportional to 171,543.20, 257,460.60 and 138,300.80

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Solution

The fourth proportional to 171,543.20, 257,460.60 and 138,300.80 is: 207,568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,543.20 : 257,460.60 = 138,300.80 : x
  2. Step 2: Convert to fraction form
    171,543.20/257,460.60 = 138,300.80/x
  3. Step 3: Cross multiply
    171,543.20x = 257,460.60 × 138,300.80
  4. Step 4: Simplify right side
    171,543.20x = 35,607,006,948.48
  5. Step 5: Solve for x
    x = 35,607,006,948.48/171,543.20
  6. Step 6: Final answer
    x = 207,568.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.