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Finding the Fourth Proportional to 201,942.92, 278,681.46 and 117,109.28

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Solution

The fourth proportional to 201,942.92, 278,681.46 and 117,109.28 is: 161,610.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,942.92 : 278,681.46 = 117,109.28 : x
  2. Step 2: Convert to fraction form
    201,942.92/278,681.46 = 117,109.28/x
  3. Step 3: Cross multiply
    201,942.92x = 278,681.46 × 117,109.28
  4. Step 4: Simplify right side
    201,942.92x = 32,636,185,129.95
  5. Step 5: Solve for x
    x = 32,636,185,129.95/201,942.92
  6. Step 6: Final answer
    x = 161,610.94

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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.