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Finding the Fourth Proportional to 111,853.44, 167,780.12 and 40,781.40

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Solution

The fourth proportional to 111,853.44, 167,780.12 and 40,781.40 is: 61,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,853.44 : 167,780.12 = 40,781.40 : x
  2. Step 2: Convert to fraction form
    111,853.44/167,780.12 = 40,781.40/x
  3. Step 3: Cross multiply
    111,853.44x = 167,780.12 × 40,781.40
  4. Step 4: Simplify right side
    111,853.44x = 6,842,307,981.86
  5. Step 5: Solve for x
    x = 6,842,307,981.86/111,853.44
  6. Step 6: Final answer
    x = 61,172.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.