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Finding the Fourth Proportional to 117,823.20, 176,302.80 and 86,719.20

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Solution

The fourth proportional to 117,823.20, 176,302.80 and 86,719.20 is: 129,760.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,823.20 : 176,302.80 = 86,719.20 : x
  2. Step 2: Convert to fraction form
    117,823.20/176,302.80 = 86,719.20/x
  3. Step 3: Cross multiply
    117,823.20x = 176,302.80 × 86,719.20
  4. Step 4: Simplify right side
    117,823.20x = 15,288,837,773.76
  5. Step 5: Solve for x
    x = 15,288,837,773.76/117,823.20
  6. Step 6: Final answer
    x = 129,760.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.