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Finding the Fourth Proportional to 101,796, 140,478.48 and 57,084

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Solution

The fourth proportional to 101,796, 140,478.48 and 57,084 is: 78,775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,796 : 140,478.48 = 57,084 : x
  2. Step 2: Convert to fraction form
    101,796/140,478.48 = 57,084/x
  3. Step 3: Cross multiply
    101,796x = 140,478.48 × 57,084
  4. Step 4: Simplify right side
    101,796x = 8,019,073,552.32
  5. Step 5: Solve for x
    x = 8,019,073,552.32/101,796
  6. Step 6: Final answer
    x = 78,775.92

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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.