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Finding the Fourth Proportional to 51,605.76, 77,398.92 and 20,015.76

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Solution

The fourth proportional to 51,605.76, 77,398.92 and 20,015.76 is: 30,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,605.76 : 77,398.92 = 20,015.76 : x
  2. Step 2: Convert to fraction form
    51,605.76/77,398.92 = 20,015.76/x
  3. Step 3: Cross multiply
    51,605.76x = 77,398.92 × 20,015.76
  4. Step 4: Simplify right side
    51,605.76x = 1,549,198,206.98
  5. Step 5: Solve for x
    x = 1,549,198,206.98/51,605.76
  6. Step 6: Final answer
    x = 30,019.87

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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.