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Finding the Fourth Proportional to 101,578.50, 140,131.80 and 65,780.04

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Solution

The fourth proportional to 101,578.50, 140,131.80 and 65,780.04 is: 90,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,578.50 : 140,131.80 = 65,780.04 : x
  2. Step 2: Convert to fraction form
    101,578.50/140,131.80 = 65,780.04/x
  3. Step 3: Cross multiply
    101,578.50x = 140,131.80 × 65,780.04
  4. Step 4: Simplify right side
    101,578.50x = 9,217,875,409.27
  5. Step 5: Solve for x
    x = 9,217,875,409.27/101,578.50
  6. Step 6: Final answer
    x = 90,746.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.