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Finding the Fourth Proportional to 101,916, 152,779.70 and 38,717.18

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Solution

The fourth proportional to 101,916, 152,779.70 and 38,717.18 is: 58,039.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,916 : 152,779.70 = 38,717.18 : x
  2. Step 2: Convert to fraction form
    101,916/152,779.70 = 38,717.18/x
  3. Step 3: Cross multiply
    101,916x = 152,779.70 × 38,717.18
  4. Step 4: Simplify right side
    101,916x = 5,915,198,187.76
  5. Step 5: Solve for x
    x = 5,915,198,187.76/101,916
  6. Step 6: Final answer
    x = 58,039.94

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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.