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Finding the Fourth Proportional to 100,782.64, 139,085.78 and 57,769.28

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Solution

The fourth proportional to 100,782.64, 139,085.78 and 57,769.28 is: 79,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,782.64 : 139,085.78 = 57,769.28 : x
  2. Step 2: Convert to fraction form
    100,782.64/139,085.78 = 57,769.28/x
  3. Step 3: Cross multiply
    100,782.64x = 139,085.78 × 57,769.28
  4. Step 4: Simplify right side
    100,782.64x = 8,034,886,175.92
  5. Step 5: Solve for x
    x = 8,034,886,175.92/100,782.64
  6. Step 6: Final answer
    x = 79,724.90

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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.