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Finding the Fourth Proportional to 189,371.88, 261,465.30 and 117,784.08

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Solution

The fourth proportional to 189,371.88, 261,465.30 and 117,784.08 is: 162,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,371.88 : 261,465.30 = 117,784.08 : x
  2. Step 2: Convert to fraction form
    189,371.88/261,465.30 = 117,784.08/x
  3. Step 3: Cross multiply
    189,371.88x = 261,465.30 × 117,784.08
  4. Step 4: Simplify right side
    189,371.88x = 30,796,449,812.42
  5. Step 5: Solve for x
    x = 30,796,449,812.42/189,371.88
  6. Step 6: Final answer
    x = 162,624.20

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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.