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Finding the Fourth Proportional to 136,287, 204,437.79 and 42,800.04

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Solution

The fourth proportional to 136,287, 204,437.79 and 42,800.04 is: 64,202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,287 : 204,437.79 = 42,800.04 : x
  2. Step 2: Convert to fraction form
    136,287/204,437.79 = 42,800.04/x
  3. Step 3: Cross multiply
    136,287x = 204,437.79 × 42,800.04
  4. Step 4: Simplify right side
    136,287x = 8,749,945,589.51
  5. Step 5: Solve for x
    x = 8,749,945,589.51/136,287
  6. Step 6: Final answer
    x = 64,202.35

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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.