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Finding the Fourth Proportional to 189,489.36, 261,549.36 and 117,833.52

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Solution

The fourth proportional to 189,489.36, 261,549.36 and 117,833.52 is: 162,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,489.36 : 261,549.36 = 117,833.52 : x
  2. Step 2: Convert to fraction form
    189,489.36/261,549.36 = 117,833.52/x
  3. Step 3: Cross multiply
    189,489.36x = 261,549.36 × 117,833.52
  4. Step 4: Simplify right side
    189,489.36x = 30,819,281,742.55
  5. Step 5: Solve for x
    x = 30,819,281,742.55/189,489.36
  6. Step 6: Final answer
    x = 162,643.86

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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.