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Finding the Fourth Proportional to 326,040.78, 489,005.10 and 86,157.30

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Solution

The fourth proportional to 326,040.78, 489,005.10 and 86,157.30 is: 129,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,040.78 : 489,005.10 = 86,157.30 : x
  2. Step 2: Convert to fraction form
    326,040.78/489,005.10 = 86,157.30/x
  3. Step 3: Cross multiply
    326,040.78x = 489,005.10 × 86,157.30
  4. Step 4: Simplify right side
    326,040.78x = 42,131,359,102.23
  5. Step 5: Solve for x
    x = 42,131,359,102.23/326,040.78
  6. Step 6: Final answer
    x = 129,221.13

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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.