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Finding the Fourth Proportional to 57,287.60, 85,931.40 and 31,043.60

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Solution

The fourth proportional to 57,287.60, 85,931.40 and 31,043.60 is: 46,565.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,287.60 : 85,931.40 = 31,043.60 : x
  2. Step 2: Convert to fraction form
    57,287.60/85,931.40 = 31,043.60/x
  3. Step 3: Cross multiply
    57,287.60x = 85,931.40 × 31,043.60
  4. Step 4: Simplify right side
    57,287.60x = 2,667,620,009.04
  5. Step 5: Solve for x
    x = 2,667,620,009.04/57,287.60
  6. Step 6: Final answer
    x = 46,565.40

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Similar ratio
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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.