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Finding the Fourth Proportional to 140,894.76, 194,435.62 and 77,232.36

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Solution

The fourth proportional to 140,894.76, 194,435.62 and 77,232.36 is: 106,581.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,894.76 : 194,435.62 = 77,232.36 : x
  2. Step 2: Convert to fraction form
    140,894.76/194,435.62 = 77,232.36/x
  3. Step 3: Cross multiply
    140,894.76x = 194,435.62 × 77,232.36
  4. Step 4: Simplify right side
    140,894.76x = 15,016,721,800.66
  5. Step 5: Solve for x
    x = 15,016,721,800.66/140,894.76
  6. Step 6: Final answer
    x = 106,581.12

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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.