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Finding the Fourth Proportional to 189,229.68, 261,039.24 and 117,582.48

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Solution

The fourth proportional to 189,229.68, 261,039.24 and 117,582.48 is: 162,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,229.68 : 261,039.24 = 117,582.48 : x
  2. Step 2: Convert to fraction form
    189,229.68/261,039.24 = 117,582.48/x
  3. Step 3: Cross multiply
    189,229.68x = 261,039.24 × 117,582.48
  4. Step 4: Simplify right side
    189,229.68x = 30,693,641,216.52
  5. Step 5: Solve for x
    x = 30,693,641,216.52/189,229.68
  6. Step 6: Final answer
    x = 162,203.10

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1.5x scale

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.