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Finding the Fourth Proportional to 189,803.84, 261,932.40 and 113,329.61

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Solution

The fourth proportional to 189,803.84, 261,932.40 and 113,329.61 is: 156,396.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,803.84 : 261,932.40 = 113,329.61 : x
  2. Step 2: Convert to fraction form
    189,803.84/261,932.40 = 113,329.61/x
  3. Step 3: Cross multiply
    189,803.84x = 261,932.40 × 113,329.61
  4. Step 4: Simplify right side
    189,803.84x = 29,684,697,393.20
  5. Step 5: Solve for x
    x = 29,684,697,393.20/189,803.84
  6. Step 6: Final answer
    x = 156,396.72

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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.