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Finding the Fourth Proportional to 117,934.40, 176,642.40 and 102,382.40

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Solution

The fourth proportional to 117,934.40, 176,642.40 and 102,382.40 is: 153,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,934.40 : 176,642.40 = 102,382.40 : x
  2. Step 2: Convert to fraction form
    117,934.40/176,642.40 = 102,382.40/x
  3. Step 3: Cross multiply
    117,934.40x = 176,642.40 × 102,382.40
  4. Step 4: Simplify right side
    117,934.40x = 18,085,072,853.76
  5. Step 5: Solve for x
    x = 18,085,072,853.76/117,934.40
  6. Step 6: Final answer
    x = 153,348.58

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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.