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Finding the Fourth Proportional to 57,148.60, 85,722.90 and 17,705.40

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Solution

The fourth proportional to 57,148.60, 85,722.90 and 17,705.40 is: 26,558.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,148.60 : 85,722.90 = 17,705.40 : x
  2. Step 2: Convert to fraction form
    57,148.60/85,722.90 = 17,705.40/x
  3. Step 3: Cross multiply
    57,148.60x = 85,722.90 × 17,705.40
  4. Step 4: Simplify right side
    57,148.60x = 1,517,758,233.66
  5. Step 5: Solve for x
    x = 1,517,758,233.66/57,148.60
  6. Step 6: Final answer
    x = 26,558.10

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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.