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Finding the Fourth Proportional to 189,565.84, 261,600.96 and 103,526

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Solution

The fourth proportional to 189,565.84, 261,600.96 and 103,526 is: 142,865.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,565.84 : 261,600.96 = 103,526 : x
  2. Step 2: Convert to fraction form
    189,565.84/261,600.96 = 103,526/x
  3. Step 3: Cross multiply
    189,565.84x = 261,600.96 × 103,526
  4. Step 4: Simplify right side
    189,565.84x = 27,082,500,984.96
  5. Step 5: Solve for x
    x = 27,082,500,984.96/189,565.84
  6. Step 6: Final answer
    x = 142,865.94

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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.