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Finding the Fourth Proportional to 117,866.40, 176,540.40 and 102,314.40

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Solution

The fourth proportional to 117,866.40, 176,540.40 and 102,314.40 is: 153,246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,866.40 : 176,540.40 = 102,314.40 : x
  2. Step 2: Convert to fraction form
    117,866.40/176,540.40 = 102,314.40/x
  3. Step 3: Cross multiply
    117,866.40x = 176,540.40 × 102,314.40
  4. Step 4: Simplify right side
    117,866.40x = 18,062,625,101.76
  5. Step 5: Solve for x
    x = 18,062,625,101.76/117,866.40
  6. Step 6: Final answer
    x = 153,246.60

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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.