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Finding the Fourth Proportional to 101,940.66, 140,678.11 and 57,228.66

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Solution

The fourth proportional to 101,940.66, 140,678.11 and 57,228.66 is: 78,975.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,940.66 : 140,678.11 = 57,228.66 : x
  2. Step 2: Convert to fraction form
    101,940.66/140,678.11 = 57,228.66/x
  3. Step 3: Cross multiply
    101,940.66x = 140,678.11 × 57,228.66
  4. Step 4: Simplify right side
    101,940.66x = 8,050,818,948.71
  5. Step 5: Solve for x
    x = 8,050,818,948.71/101,940.66
  6. Step 6: Final answer
    x = 78,975.55

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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.