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Finding the Fourth Proportional to 209,930.58, 315,017.82 and 88,342.16

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Solution

The fourth proportional to 209,930.58, 315,017.82 and 88,342.16 is: 132,564.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,930.58 : 315,017.82 = 88,342.16 : x
  2. Step 2: Convert to fraction form
    209,930.58/315,017.82 = 88,342.16/x
  3. Step 3: Cross multiply
    209,930.58x = 315,017.82 × 88,342.16
  4. Step 4: Simplify right side
    209,930.58x = 27,829,353,082.20
  5. Step 5: Solve for x
    x = 27,829,353,082.20/209,930.58
  6. Step 6: Final answer
    x = 132,564.55

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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.