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Finding the Fourth Proportional to 189,814.50, 261,921.27 and 104,920.02

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Solution

The fourth proportional to 189,814.50, 261,921.27 and 104,920.02 is: 144,777.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,814.50 : 261,921.27 = 104,920.02 : x
  2. Step 2: Convert to fraction form
    189,814.50/261,921.27 = 104,920.02/x
  3. Step 3: Cross multiply
    189,814.50x = 261,921.27 × 104,920.02
  4. Step 4: Simplify right side
    189,814.50x = 27,480,784,886.83
  5. Step 5: Solve for x
    x = 27,480,784,886.83/189,814.50
  6. Step 6: Final answer
    x = 144,777.06

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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.