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Finding the Fourth Proportional to 174,108.80, 261,211.80 and 85,365.20

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Solution

The fourth proportional to 174,108.80, 261,211.80 and 85,365.20 is: 128,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,108.80 : 261,211.80 = 85,365.20 : x
  2. Step 2: Convert to fraction form
    174,108.80/261,211.80 = 85,365.20/x
  3. Step 3: Cross multiply
    174,108.80x = 261,211.80 × 85,365.20
  4. Step 4: Simplify right side
    174,108.80x = 22,298,397,549.36
  5. Step 5: Solve for x
    x = 22,298,397,549.36/174,108.80
  6. Step 6: Final answer
    x = 128,071.63

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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.