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Finding the Fourth Proportional to 101,010, 151,536.87 and 38,680.50

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Solution

The fourth proportional to 101,010, 151,536.87 and 38,680.50 is: 58,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,010 : 151,536.87 = 38,680.50 : x
  2. Step 2: Convert to fraction form
    101,010/151,536.87 = 38,680.50/x
  3. Step 3: Cross multiply
    101,010x = 151,536.87 × 38,680.50
  4. Step 4: Simplify right side
    101,010x = 5,861,521,900.04
  5. Step 5: Solve for x
    x = 5,861,521,900.04/101,010
  6. Step 6: Final answer
    x = 58,029.12

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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.