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Finding the Fourth Proportional to 51,432.32, 77,148.48 and 16,372

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Solution

The fourth proportional to 51,432.32, 77,148.48 and 16,372 is: 24,558

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,432.32 : 77,148.48 = 16,372 : x
  2. Step 2: Convert to fraction form
    51,432.32/77,148.48 = 16,372/x
  3. Step 3: Cross multiply
    51,432.32x = 77,148.48 × 16,372
  4. Step 4: Simplify right side
    51,432.32x = 1,263,074,914.56
  5. Step 5: Solve for x
    x = 1,263,074,914.56/51,432.32
  6. Step 6: Final answer
    x = 24,558

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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.