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Finding the Fourth Proportional to 102,682.91, 153,958.44 and 42,752.90

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Solution

The fourth proportional to 102,682.91, 153,958.44 and 42,752.90 is: 64,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,682.91 : 153,958.44 = 42,752.90 : x
  2. Step 2: Convert to fraction form
    102,682.91/153,958.44 = 42,752.90/x
  3. Step 3: Cross multiply
    102,682.91x = 153,958.44 × 42,752.90
  4. Step 4: Simplify right side
    102,682.91x = 6,582,169,019.68
  5. Step 5: Solve for x
    x = 6,582,169,019.68/102,682.91
  6. Step 6: Final answer
    x = 64,101.90

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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.