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Finding the Fourth Proportional to 51,432, 77,155.04 and 18,144.32

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Solution

The fourth proportional to 51,432, 77,155.04 and 18,144.32 is: 27,218.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,432 : 77,155.04 = 18,144.32 : x
  2. Step 2: Convert to fraction form
    51,432/77,155.04 = 18,144.32/x
  3. Step 3: Cross multiply
    51,432x = 77,155.04 × 18,144.32
  4. Step 4: Simplify right side
    51,432x = 1,399,925,735.37
  5. Step 5: Solve for x
    x = 1,399,925,735.37/51,432
  6. Step 6: Final answer
    x = 27,218.96

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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.