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Finding the Fourth Proportional to 71,678.67, 98,907.91 and 39,407.95

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Solution

The fourth proportional to 71,678.67, 98,907.91 and 39,407.95 is: 54,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,678.67 : 98,907.91 = 39,407.95 : x
  2. Step 2: Convert to fraction form
    71,678.67/98,907.91 = 39,407.95/x
  3. Step 3: Cross multiply
    71,678.67x = 98,907.91 × 39,407.95
  4. Step 4: Simplify right side
    71,678.67x = 3,897,757,971.88
  5. Step 5: Solve for x
    x = 3,897,757,971.88/71,678.67
  6. Step 6: Final answer
    x = 54,378.21

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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.