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Finding the Fourth Proportional to 80,640, 111,283.20 and 45,312

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Solution

The fourth proportional to 80,640, 111,283.20 and 45,312 is: 62,530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,640 : 111,283.20 = 45,312 : x
  2. Step 2: Convert to fraction form
    80,640/111,283.20 = 45,312/x
  3. Step 3: Cross multiply
    80,640x = 111,283.20 × 45,312
  4. Step 4: Simplify right side
    80,640x = 5,042,464,358.40
  5. Step 5: Solve for x
    x = 5,042,464,358.40/80,640
  6. Step 6: Final answer
    x = 62,530.56

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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.