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Finding the Fourth Proportional to 148,640, 205,149.12 and 84,980.48

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Solution

The fourth proportional to 148,640, 205,149.12 and 84,980.48 is: 117,287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,640 : 205,149.12 = 84,980.48 : x
  2. Step 2: Convert to fraction form
    148,640/205,149.12 = 84,980.48/x
  3. Step 3: Cross multiply
    148,640x = 205,149.12 × 84,980.48
  4. Step 4: Simplify right side
    148,640x = 17,433,670,689.18
  5. Step 5: Solve for x
    x = 17,433,670,689.18/148,640
  6. Step 6: Final answer
    x = 117,287.88

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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.