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Finding the Fourth Proportional to 71,575.32, 107,368.38 and 18,983.28

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Solution

The fourth proportional to 71,575.32, 107,368.38 and 18,983.28 is: 28,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,575.32 : 107,368.38 = 18,983.28 : x
  2. Step 2: Convert to fraction form
    71,575.32/107,368.38 = 18,983.28/x
  3. Step 3: Cross multiply
    71,575.32x = 107,368.38 × 18,983.28
  4. Step 4: Simplify right side
    71,575.32x = 2,038,204,020.69
  5. Step 5: Solve for x
    x = 2,038,204,020.69/71,575.32
  6. Step 6: Final answer
    x = 28,476.35

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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.