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Finding the Fourth Proportional to 201,938.28, 278,663.46 and 111,293.96

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Solution

The fourth proportional to 201,938.28, 278,663.46 and 111,293.96 is: 153,579.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,938.28 : 278,663.46 = 111,293.96 : x
  2. Step 2: Convert to fraction form
    201,938.28/278,663.46 = 111,293.96/x
  3. Step 3: Cross multiply
    201,938.28x = 278,663.46 × 111,293.96
  4. Step 4: Simplify right side
    201,938.28x = 31,013,559,970.70
  5. Step 5: Solve for x
    x = 31,013,559,970.70/201,938.28
  6. Step 6: Final answer
    x = 153,579.40

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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.