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Finding the Fourth Proportional to 142,382.10, 213,573.15 and 127,218.90

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Solution

The fourth proportional to 142,382.10, 213,573.15 and 127,218.90 is: 190,828.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,382.10 : 213,573.15 = 127,218.90 : x
  2. Step 2: Convert to fraction form
    142,382.10/213,573.15 = 127,218.90/x
  3. Step 3: Cross multiply
    142,382.10x = 213,573.15 × 127,218.90
  4. Step 4: Simplify right side
    142,382.10x = 27,170,541,212.54
  5. Step 5: Solve for x
    x = 27,170,541,212.54/142,382.10
  6. Step 6: Final answer
    x = 190,828.35

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1.5x scale

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.