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Finding the Fourth Proportional to 213,228.96, 319,986 and 88,569.96

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Solution

The fourth proportional to 213,228.96, 319,986 and 88,569.96 is: 132,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,228.96 : 319,986 = 88,569.96 : x
  2. Step 2: Convert to fraction form
    213,228.96/319,986 = 88,569.96/x
  3. Step 3: Cross multiply
    213,228.96x = 319,986 × 88,569.96
  4. Step 4: Simplify right side
    213,228.96x = 28,341,147,220.56
  5. Step 5: Solve for x
    x = 28,341,147,220.56/213,228.96
  6. Step 6: Final answer
    x = 132,914.16

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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.