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Finding the Fourth Proportional to 77,148.20, 115,728.70 and 24,556.20

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Solution

The fourth proportional to 77,148.20, 115,728.70 and 24,556.20 is: 36,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,148.20 : 115,728.70 = 24,556.20 : x
  2. Step 2: Convert to fraction form
    77,148.20/115,728.70 = 24,556.20/x
  3. Step 3: Cross multiply
    77,148.20x = 115,728.70 × 24,556.20
  4. Step 4: Simplify right side
    77,148.20x = 2,841,857,102.94
  5. Step 5: Solve for x
    x = 2,841,857,102.94/77,148.20
  6. Step 6: Final answer
    x = 36,836.34

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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.