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Finding the Fourth Proportional to 171,531.40, 257,316.30 and 53,201.80

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Solution

The fourth proportional to 171,531.40, 257,316.30 and 53,201.80 is: 79,808.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,531.40 : 257,316.30 = 53,201.80 : x
  2. Step 2: Convert to fraction form
    171,531.40/257,316.30 = 53,201.80/x
  3. Step 3: Cross multiply
    171,531.40x = 257,316.30 × 53,201.80
  4. Step 4: Simplify right side
    171,531.40x = 13,689,690,329.34
  5. Step 5: Solve for x
    x = 13,689,690,329.34/171,531.40
  6. Step 6: Final answer
    x = 79,808.66

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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.