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Finding the Fourth Proportional to 71,941.54, 99,275.67 and 39,681.78

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Solution

The fourth proportional to 71,941.54, 99,275.67 and 39,681.78 is: 54,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,941.54 : 99,275.67 = 39,681.78 : x
  2. Step 2: Convert to fraction form
    71,941.54/99,275.67 = 39,681.78/x
  3. Step 3: Cross multiply
    71,941.54x = 99,275.67 × 39,681.78
  4. Step 4: Simplify right side
    71,941.54x = 3,939,435,296.29
  5. Step 5: Solve for x
    x = 3,939,435,296.29/71,941.54
  6. Step 6: Final answer
    x = 54,758.84

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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.