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Finding the Fourth Proportional to 97,662.80, 146,494.20 and 57,640.70

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Solution

The fourth proportional to 97,662.80, 146,494.20 and 57,640.70 is: 86,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,662.80 : 146,494.20 = 57,640.70 : x
  2. Step 2: Convert to fraction form
    97,662.80/146,494.20 = 57,640.70/x
  3. Step 3: Cross multiply
    97,662.80x = 146,494.20 × 57,640.70
  4. Step 4: Simplify right side
    97,662.80x = 8,444,028,233.94
  5. Step 5: Solve for x
    x = 8,444,028,233.94/97,662.80
  6. Step 6: Final answer
    x = 86,461.05

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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.