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Finding the Fourth Proportional to 57,830.68, 86,506.05 and 54,287.74

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Solution

The fourth proportional to 57,830.68, 86,506.05 and 54,287.74 is: 81,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,830.68 : 86,506.05 = 54,287.74 : x
  2. Step 2: Convert to fraction form
    57,830.68/86,506.05 = 54,287.74/x
  3. Step 3: Cross multiply
    57,830.68x = 86,506.05 × 54,287.74
  4. Step 4: Simplify right side
    57,830.68x = 4,696,217,734.56
  5. Step 5: Solve for x
    x = 4,696,217,734.56/57,830.68
  6. Step 6: Final answer
    x = 81,206.34

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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.