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Finding the Fourth Proportional to 78,881.22, 108,971.24 and 68,252.40

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Solution

The fourth proportional to 78,881.22, 108,971.24 and 68,252.40 is: 94,287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,881.22 : 108,971.24 = 68,252.40 : x
  2. Step 2: Convert to fraction form
    78,881.22/108,971.24 = 68,252.40/x
  3. Step 3: Cross multiply
    78,881.22x = 108,971.24 × 68,252.40
  4. Step 4: Simplify right side
    78,881.22x = 7,437,548,319.71
  5. Step 5: Solve for x
    x = 7,437,548,319.71/78,881.22
  6. Step 6: Final answer
    x = 94,287.95

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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.