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Finding the Fourth Proportional to 213,065.96, 319,741.50 and 88,406.96

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Solution

The fourth proportional to 213,065.96, 319,741.50 and 88,406.96 is: 132,669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,065.96 : 319,741.50 = 88,406.96 : x
  2. Step 2: Convert to fraction form
    213,065.96/319,741.50 = 88,406.96/x
  3. Step 3: Cross multiply
    213,065.96x = 319,741.50 × 88,406.96
  4. Step 4: Simplify right side
    213,065.96x = 28,267,374,000.84
  5. Step 5: Solve for x
    x = 28,267,374,000.84/213,065.96
  6. Step 6: Final answer
    x = 132,669.59

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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.