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Finding the Fourth Proportional to 172,000.20, 257,913.90 and 78,400.20

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Solution

The fourth proportional to 172,000.20, 257,913.90 and 78,400.20 is: 117,560.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,000.20 : 257,913.90 = 78,400.20 : x
  2. Step 2: Convert to fraction form
    172,000.20/257,913.90 = 78,400.20/x
  3. Step 3: Cross multiply
    172,000.20x = 257,913.90 × 78,400.20
  4. Step 4: Simplify right side
    172,000.20x = 20,220,501,342.78
  5. Step 5: Solve for x
    x = 20,220,501,342.78/172,000.20
  6. Step 6: Final answer
    x = 117,560.92

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1.5x scale

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.