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Finding the Fourth Proportional to 189,754, 261,837.84 and 104,859.52

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Solution

The fourth proportional to 189,754, 261,837.84 and 104,859.52 is: 144,693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,754 : 261,837.84 = 104,859.52 : x
  2. Step 2: Convert to fraction form
    189,754/261,837.84 = 104,859.52/x
  3. Step 3: Cross multiply
    189,754x = 261,837.84 × 104,859.52
  4. Step 4: Simplify right side
    189,754x = 27,456,190,220.24
  5. Step 5: Solve for x
    x = 27,456,190,220.24/189,754
  6. Step 6: Final answer
    x = 144,693.60

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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.