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Finding the Fourth Proportional to 101,092, 151,631.62 and 39,478.74

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Solution

The fourth proportional to 101,092, 151,631.62 and 39,478.74 is: 59,215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,092 : 151,631.62 = 39,478.74 : x
  2. Step 2: Convert to fraction form
    101,092/151,631.62 = 39,478.74/x
  3. Step 3: Cross multiply
    101,092x = 151,631.62 × 39,478.74
  4. Step 4: Simplify right side
    101,092x = 5,986,225,301.76
  5. Step 5: Solve for x
    x = 5,986,225,301.76/101,092
  6. Step 6: Final answer
    x = 59,215.62

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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.