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Finding the Fourth Proportional to 136,992.34, 205,507.84 and 42,230.22

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Solution

The fourth proportional to 136,992.34, 205,507.84 and 42,230.22 is: 63,351.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,992.34 : 205,507.84 = 42,230.22 : x
  2. Step 2: Convert to fraction form
    136,992.34/205,507.84 = 42,230.22/x
  3. Step 3: Cross multiply
    136,992.34x = 205,507.84 × 42,230.22
  4. Step 4: Simplify right side
    136,992.34x = 8,678,641,294.92
  5. Step 5: Solve for x
    x = 8,678,641,294.92/136,992.34
  6. Step 6: Final answer
    x = 63,351.29

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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.