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Finding the Fourth Proportional to 201,967.77, 278,702.85 and 111,318.75

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Solution

The fourth proportional to 201,967.77, 278,702.85 and 111,318.75 is: 153,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,967.77 : 278,702.85 = 111,318.75 : x
  2. Step 2: Convert to fraction form
    201,967.77/278,702.85 = 111,318.75/x
  3. Step 3: Cross multiply
    201,967.77x = 278,702.85 × 111,318.75
  4. Step 4: Simplify right side
    201,967.77x = 31,024,852,883.44
  5. Step 5: Solve for x
    x = 31,024,852,883.44/201,967.77
  6. Step 6: Final answer
    x = 153,612.89

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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.