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Finding the Fourth Proportional to 189,478.32, 261,470.90 and 107,798.88

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Solution

The fourth proportional to 189,478.32, 261,470.90 and 107,798.88 is: 148,757.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,478.32 : 261,470.90 = 107,798.88 : x
  2. Step 2: Convert to fraction form
    189,478.32/261,470.90 = 107,798.88/x
  3. Step 3: Cross multiply
    189,478.32x = 261,470.90 × 107,798.88
  4. Step 4: Simplify right side
    189,478.32x = 28,186,269,633.60
  5. Step 5: Solve for x
    x = 28,186,269,633.60/189,478.32
  6. Step 6: Final answer
    x = 148,757.23

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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.