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Finding the Fourth Proportional to 155,097.73, 213,980.36 and 101,414.17

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Solution

The fourth proportional to 155,097.73, 213,980.36 and 101,414.17 is: 139,915.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,097.73 : 213,980.36 = 101,414.17 : x
  2. Step 2: Convert to fraction form
    155,097.73/213,980.36 = 101,414.17/x
  3. Step 3: Cross multiply
    155,097.73x = 213,980.36 × 101,414.17
  4. Step 4: Simplify right side
    155,097.73x = 21,700,640,605.70
  5. Step 5: Solve for x
    x = 21,700,640,605.70/155,097.73
  6. Step 6: Final answer
    x = 139,915.91

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1.5x scale

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.