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Finding the Fourth Proportional to 155,280, 214,198.92 and 101,552.70

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Solution

The fourth proportional to 155,280, 214,198.92 and 101,552.70 is: 140,085.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,280 : 214,198.92 = 101,552.70 : x
  2. Step 2: Convert to fraction form
    155,280/214,198.92 = 101,552.70/x
  3. Step 3: Cross multiply
    155,280x = 214,198.92 × 101,552.70
  4. Step 4: Simplify right side
    155,280x = 21,752,478,663.08
  5. Step 5: Solve for x
    x = 21,752,478,663.08/155,280
  6. Step 6: Final answer
    x = 140,085.51

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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.