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Finding the Fourth Proportional to 111,985.90, 167,978.85 and 111,208.30

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Solution

The fourth proportional to 111,985.90, 167,978.85 and 111,208.30 is: 166,812.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,985.90 : 167,978.85 = 111,208.30 : x
  2. Step 2: Convert to fraction form
    111,985.90/167,978.85 = 111,208.30/x
  3. Step 3: Cross multiply
    111,985.90x = 167,978.85 × 111,208.30
  4. Step 4: Simplify right side
    111,985.90x = 18,680,642,344.46
  5. Step 5: Solve for x
    x = 18,680,642,344.46/111,985.90
  6. Step 6: Final answer
    x = 166,812.45

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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.