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Finding the Fourth Proportional to 63,106.32, 87,085.32 and 34,812

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Solution

The fourth proportional to 63,106.32, 87,085.32 and 34,812 is: 48,039.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,106.32 : 87,085.32 = 34,812 : x
  2. Step 2: Convert to fraction form
    63,106.32/87,085.32 = 34,812/x
  3. Step 3: Cross multiply
    63,106.32x = 87,085.32 × 34,812
  4. Step 4: Simplify right side
    63,106.32x = 3,031,614,159.84
  5. Step 5: Solve for x
    x = 3,031,614,159.84/63,106.32
  6. Step 6: Final answer
    x = 48,039.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.