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Finding the Fourth Proportional to 192,421.16, 288,678.72 and 135,605.90

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Solution

The fourth proportional to 192,421.16, 288,678.72 and 135,605.90 is: 203,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,421.16 : 288,678.72 = 135,605.90 : x
  2. Step 2: Convert to fraction form
    192,421.16/288,678.72 = 135,605.90/x
  3. Step 3: Cross multiply
    192,421.16x = 288,678.72 × 135,605.90
  4. Step 4: Simplify right side
    192,421.16x = 39,146,537,636.45
  5. Step 5: Solve for x
    x = 39,146,537,636.45/192,421.16
  6. Step 6: Final answer
    x = 203,441.96

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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.