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Finding the Fourth Proportional to 115,000.50, 172,500.75 and 31,894.50

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Solution

The fourth proportional to 115,000.50, 172,500.75 and 31,894.50 is: 47,841.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,000.50 : 172,500.75 = 31,894.50 : x
  2. Step 2: Convert to fraction form
    115,000.50/172,500.75 = 31,894.50/x
  3. Step 3: Cross multiply
    115,000.50x = 172,500.75 × 31,894.50
  4. Step 4: Simplify right side
    115,000.50x = 5,501,825,170.88
  5. Step 5: Solve for x
    x = 5,501,825,170.88/115,000.50
  6. Step 6: Final answer
    x = 47,841.75

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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.