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Finding the Fourth Proportional to 78,291.18, 107,892.68 and 76,851.68

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Solution

The fourth proportional to 78,291.18, 107,892.68 and 76,851.68 is: 105,908.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,291.18 : 107,892.68 = 76,851.68 : x
  2. Step 2: Convert to fraction form
    78,291.18/107,892.68 = 76,851.68/x
  3. Step 3: Cross multiply
    78,291.18x = 107,892.68 × 76,851.68
  4. Step 4: Simplify right side
    78,291.18x = 8,291,733,717.70
  5. Step 5: Solve for x
    x = 8,291,733,717.70/78,291.18
  6. Step 6: Final answer
    x = 105,908.91

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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.