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Finding the Fourth Proportional to 71,875.88, 107,833.24 and 40,733

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Solution

The fourth proportional to 71,875.88, 107,833.24 and 40,733 is: 61,110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,875.88 : 107,833.24 = 40,733 : x
  2. Step 2: Convert to fraction form
    71,875.88/107,833.24 = 40,733/x
  3. Step 3: Cross multiply
    71,875.88x = 107,833.24 × 40,733
  4. Step 4: Simplify right side
    71,875.88x = 4,392,371,364.92
  5. Step 5: Solve for x
    x = 4,392,371,364.92/71,875.88
  6. Step 6: Final answer
    x = 61,110.51

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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.