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Finding the Fourth Proportional to 189,364.32, 261,417.46 and 117,767.41

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Solution

The fourth proportional to 189,364.32, 261,417.46 and 117,767.41 is: 162,577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,364.32 : 261,417.46 = 117,767.41 : x
  2. Step 2: Convert to fraction form
    189,364.32/261,417.46 = 117,767.41/x
  3. Step 3: Cross multiply
    189,364.32x = 261,417.46 × 117,767.41
  4. Step 4: Simplify right side
    189,364.32x = 30,786,456,245.02
  5. Step 5: Solve for x
    x = 30,786,456,245.02/189,364.32
  6. Step 6: Final answer
    x = 162,577.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.