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Finding the Fourth Proportional to 47,874.32, 71,811.52 and 21,548.32

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Solution

The fourth proportional to 47,874.32, 71,811.52 and 21,548.32 is: 32,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,874.32 : 71,811.52 = 21,548.32 : x
  2. Step 2: Convert to fraction form
    47,874.32/71,811.52 = 21,548.32/x
  3. Step 3: Cross multiply
    47,874.32x = 71,811.52 × 21,548.32
  4. Step 4: Simplify right side
    47,874.32x = 1,547,417,612.65
  5. Step 5: Solve for x
    x = 1,547,417,612.65/47,874.32
  6. Step 6: Final answer
    x = 32,322.50

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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.