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Finding the Fourth Proportional to 52,490.64, 78,719.81 and 15,040.68

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Solution

The fourth proportional to 52,490.64, 78,719.81 and 15,040.68 is: 22,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,490.64 : 78,719.81 = 15,040.68 : x
  2. Step 2: Convert to fraction form
    52,490.64/78,719.81 = 15,040.68/x
  3. Step 3: Cross multiply
    52,490.64x = 78,719.81 × 15,040.68
  4. Step 4: Simplify right side
    52,490.64x = 1,183,999,471.87
  5. Step 5: Solve for x
    x = 1,183,999,471.87/52,490.64
  6. Step 6: Final answer
    x = 22,556.39

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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.