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Finding the Fourth Proportional to 57,348.60, 86,022.90 and 31,979.40

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Solution

The fourth proportional to 57,348.60, 86,022.90 and 31,979.40 is: 47,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,348.60 : 86,022.90 = 31,979.40 : x
  2. Step 2: Convert to fraction form
    57,348.60/86,022.90 = 31,979.40/x
  3. Step 3: Cross multiply
    57,348.60x = 86,022.90 × 31,979.40
  4. Step 4: Simplify right side
    57,348.60x = 2,750,960,728.26
  5. Step 5: Solve for x
    x = 2,750,960,728.26/57,348.60
  6. Step 6: Final answer
    x = 47,969.10

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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.