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Finding the Fourth Proportional to 111,985.40, 167,978.10 and 103,431.80

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Solution

The fourth proportional to 111,985.40, 167,978.10 and 103,431.80 is: 155,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,985.40 : 167,978.10 = 103,431.80 : x
  2. Step 2: Convert to fraction form
    111,985.40/167,978.10 = 103,431.80/x
  3. Step 3: Cross multiply
    111,985.40x = 167,978.10 × 103,431.80
  4. Step 4: Simplify right side
    111,985.40x = 17,374,277,243.58
  5. Step 5: Solve for x
    x = 17,374,277,243.58/111,985.40
  6. Step 6: Final answer
    x = 155,147.70

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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.