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Finding the Fourth Proportional to 189,062.25, 260,911.40 and 104,184.78

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Solution

The fourth proportional to 189,062.25, 260,911.40 and 104,184.78 is: 143,778.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,062.25 : 260,911.40 = 104,184.78 : x
  2. Step 2: Convert to fraction form
    189,062.25/260,911.40 = 104,184.78/x
  3. Step 3: Cross multiply
    189,062.25x = 260,911.40 × 104,184.78
  4. Step 4: Simplify right side
    189,062.25x = 27,182,996,287.57
  5. Step 5: Solve for x
    x = 27,182,996,287.57/189,062.25
  6. Step 6: Final answer
    x = 143,778.02

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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.