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Finding the Fourth Proportional to 100,340.94, 138,350.79 and 64,532.46

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Solution

The fourth proportional to 100,340.94, 138,350.79 and 64,532.46 is: 88,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,340.94 : 138,350.79 = 64,532.46 : x
  2. Step 2: Convert to fraction form
    100,340.94/138,350.79 = 64,532.46/x
  3. Step 3: Cross multiply
    100,340.94x = 138,350.79 × 64,532.46
  4. Step 4: Simplify right side
    100,340.94x = 8,928,116,821.64
  5. Step 5: Solve for x
    x = 8,928,116,821.64/100,340.94
  6. Step 6: Final answer
    x = 88,977.81

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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.