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Finding the Fourth Proportional to 97,400, 145,989.27 and 41,205.08

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Solution

The fourth proportional to 97,400, 145,989.27 and 41,205.08 is: 61,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,400 : 145,989.27 = 41,205.08 : x
  2. Step 2: Convert to fraction form
    97,400/145,989.27 = 41,205.08/x
  3. Step 3: Cross multiply
    97,400x = 145,989.27 × 41,205.08
  4. Step 4: Simplify right side
    97,400x = 6,015,499,549.49
  5. Step 5: Solve for x
    x = 6,015,499,549.49/97,400
  6. Step 6: Final answer
    x = 61,760.78

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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.