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Finding the Fourth Proportional to 201,938.72, 278,677.40 and 111,294.86

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Solution

The fourth proportional to 201,938.72, 278,677.40 and 111,294.86 is: 153,587.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,938.72 : 278,677.40 = 111,294.86 : x
  2. Step 2: Convert to fraction form
    201,938.72/278,677.40 = 111,294.86/x
  3. Step 3: Cross multiply
    201,938.72x = 278,677.40 × 111,294.86
  4. Step 4: Simplify right side
    201,938.72x = 31,015,360,268.30
  5. Step 5: Solve for x
    x = 31,015,360,268.30/201,938.72
  6. Step 6: Final answer
    x = 153,587.98

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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.