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Finding the Fourth Proportional to 71,710.87, 98,967.14 and 39,881.83

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Solution

The fourth proportional to 71,710.87, 98,967.14 and 39,881.83 is: 55,040.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,710.87 : 98,967.14 = 39,881.83 : x
  2. Step 2: Convert to fraction form
    71,710.87/98,967.14 = 39,881.83/x
  3. Step 3: Cross multiply
    71,710.87x = 98,967.14 × 39,881.83
  4. Step 4: Simplify right side
    71,710.87x = 3,946,990,653.07
  5. Step 5: Solve for x
    x = 3,946,990,653.07/71,710.87
  6. Step 6: Final answer
    x = 55,040.34

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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.