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Finding the Fourth Proportional to 102,686.78, 153,964.26 and 42,756.78

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Solution

The fourth proportional to 102,686.78, 153,964.26 and 42,756.78 is: 64,107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,686.78 : 153,964.26 = 42,756.78 : x
  2. Step 2: Convert to fraction form
    102,686.78/153,964.26 = 42,756.78/x
  3. Step 3: Cross multiply
    102,686.78x = 153,964.26 × 42,756.78
  4. Step 4: Simplify right side
    102,686.78x = 6,583,015,992.68
  5. Step 5: Solve for x
    x = 6,583,015,992.68/102,686.78
  6. Step 6: Final answer
    x = 64,107.73

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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.