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Finding the Fourth Proportional to 111,551.90, 167,328.05 and 78,420.20

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Solution

The fourth proportional to 111,551.90, 167,328.05 and 78,420.20 is: 117,630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,551.90 : 167,328.05 = 78,420.20 : x
  2. Step 2: Convert to fraction form
    111,551.90/167,328.05 = 78,420.20/x
  3. Step 3: Cross multiply
    111,551.90x = 167,328.05 × 78,420.20
  4. Step 4: Simplify right side
    111,551.90x = 13,121,897,917.87
  5. Step 5: Solve for x
    x = 13,121,897,917.87/111,551.90
  6. Step 6: Final answer
    x = 117,630.43

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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.