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Finding the Fourth Proportional to 54,348.60, 81,422.10 and 30,905.40

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Solution

The fourth proportional to 54,348.60, 81,422.10 and 30,905.40 is: 46,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,348.60 : 81,422.10 = 30,905.40 : x
  2. Step 2: Convert to fraction form
    54,348.60/81,422.10 = 30,905.40/x
  3. Step 3: Cross multiply
    54,348.60x = 81,422.10 × 30,905.40
  4. Step 4: Simplify right side
    54,348.60x = 2,516,382,569.34
  5. Step 5: Solve for x
    x = 2,516,382,569.34/54,348.60
  6. Step 6: Final answer
    x = 46,300.78

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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.