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Finding the Fourth Proportional to 111,787.86, 154,331.01 and 74,113.14

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Solution

The fourth proportional to 111,787.86, 154,331.01 and 74,113.14 is: 102,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,787.86 : 154,331.01 = 74,113.14 : x
  2. Step 2: Convert to fraction form
    111,787.86/154,331.01 = 74,113.14/x
  3. Step 3: Cross multiply
    111,787.86x = 154,331.01 × 74,113.14
  4. Step 4: Simplify right side
    111,787.86x = 11,437,955,750.47
  5. Step 5: Solve for x
    x = 11,437,955,750.47/111,787.86
  6. Step 6: Final answer
    x = 102,318.41

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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.