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Finding the Fourth Proportional to 189,585.54, 261,746.38 and 120,713.88

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Solution

The fourth proportional to 189,585.54, 261,746.38 and 120,713.88 is: 166,660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,585.54 : 261,746.38 = 120,713.88 : x
  2. Step 2: Convert to fraction form
    189,585.54/261,746.38 = 120,713.88/x
  3. Step 3: Cross multiply
    189,585.54x = 261,746.38 × 120,713.88
  4. Step 4: Simplify right side
    189,585.54x = 31,596,421,105.75
  5. Step 5: Solve for x
    x = 31,596,421,105.75/189,585.54
  6. Step 6: Final answer
    x = 166,660.50

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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.