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Finding the Fourth Proportional to 201,775.43, 278,446.65 and 111,139.88

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Solution

The fourth proportional to 201,775.43, 278,446.65 and 111,139.88 is: 153,371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,775.43 : 278,446.65 = 111,139.88 : x
  2. Step 2: Convert to fraction form
    201,775.43/278,446.65 = 111,139.88/x
  3. Step 3: Cross multiply
    201,775.43x = 278,446.65 × 111,139.88
  4. Step 4: Simplify right side
    201,775.43x = 30,946,525,875.17
  5. Step 5: Solve for x
    x = 30,946,525,875.17/201,775.43
  6. Step 6: Final answer
    x = 153,371.13

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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.