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Finding the Fourth Proportional to 51,508.40, 77,165.40 and 48,009.20

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Solution

The fourth proportional to 51,508.40, 77,165.40 and 48,009.20 is: 71,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,508.40 : 77,165.40 = 48,009.20 : x
  2. Step 2: Convert to fraction form
    51,508.40/77,165.40 = 48,009.20/x
  3. Step 3: Cross multiply
    51,508.40x = 77,165.40 × 48,009.20
  4. Step 4: Simplify right side
    51,508.40x = 3,704,649,121.68
  5. Step 5: Solve for x
    x = 3,704,649,121.68/51,508.40
  6. Step 6: Final answer
    x = 71,923.20

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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.