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Finding the Fourth Proportional to 69,836, 96,373.68 and 40,028

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Solution

The fourth proportional to 69,836, 96,373.68 and 40,028 is: 55,238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,836 : 96,373.68 = 40,028 : x
  2. Step 2: Convert to fraction form
    69,836/96,373.68 = 40,028/x
  3. Step 3: Cross multiply
    69,836x = 96,373.68 × 40,028
  4. Step 4: Simplify right side
    69,836x = 3,857,645,663.04
  5. Step 5: Solve for x
    x = 3,857,645,663.04/69,836
  6. Step 6: Final answer
    x = 55,238.64

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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.