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Finding the Fourth Proportional to 218,029.86, 327,045.06 and 99,669.42

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Solution

The fourth proportional to 218,029.86, 327,045.06 and 99,669.42 is: 149,504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,029.86 : 327,045.06 = 99,669.42 : x
  2. Step 2: Convert to fraction form
    218,029.86/327,045.06 = 99,669.42/x
  3. Step 3: Cross multiply
    218,029.86x = 327,045.06 × 99,669.42
  4. Step 4: Simplify right side
    218,029.86x = 32,596,391,444.07
  5. Step 5: Solve for x
    x = 32,596,391,444.07/218,029.86
  6. Step 6: Final answer
    x = 149,504.25

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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.