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Finding the Fourth Proportional to 189,776, 261,890.64 and 103,735.52

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Solution

The fourth proportional to 189,776, 261,890.64 and 103,735.52 is: 143,154.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,776 : 261,890.64 = 103,735.52 : x
  2. Step 2: Convert to fraction form
    189,776/261,890.64 = 103,735.52/x
  3. Step 3: Cross multiply
    189,776x = 261,890.64 × 103,735.52
  4. Step 4: Simplify right side
    189,776x = 27,167,361,723.53
  5. Step 5: Solve for x
    x = 27,167,361,723.53/189,776
  6. Step 6: Final answer
    x = 143,154.89

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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.