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Finding the Fourth Proportional to 117,947.76, 162,770.81 and 64,235.69

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Solution

The fourth proportional to 117,947.76, 162,770.81 and 64,235.69 is: 88,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,947.76 : 162,770.81 = 64,235.69 : x
  2. Step 2: Convert to fraction form
    117,947.76/162,770.81 = 64,235.69/x
  3. Step 3: Cross multiply
    117,947.76x = 162,770.81 × 64,235.69
  4. Step 4: Simplify right side
    117,947.76x = 10,455,695,292.21
  5. Step 5: Solve for x
    x = 10,455,695,292.21/117,947.76
  6. Step 6: Final answer
    x = 88,646.83

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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.