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Finding the Fourth Proportional to 71,368.64, 107,048.80 and 21,447.64

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Solution

The fourth proportional to 71,368.64, 107,048.80 and 21,447.64 is: 32,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,368.64 : 107,048.80 = 21,447.64 : x
  2. Step 2: Convert to fraction form
    71,368.64/107,048.80 = 21,447.64/x
  3. Step 3: Cross multiply
    71,368.64x = 107,048.80 × 21,447.64
  4. Step 4: Simplify right side
    71,368.64x = 2,295,944,124.83
  5. Step 5: Solve for x
    x = 2,295,944,124.83/71,368.64
  6. Step 6: Final answer
    x = 32,170.21

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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.