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Finding the Fourth Proportional to 124,851, 172,297.50 and 75,793.20

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Solution

The fourth proportional to 124,851, 172,297.50 and 75,793.20 is: 104,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,851 : 172,297.50 = 75,793.20 : x
  2. Step 2: Convert to fraction form
    124,851/172,297.50 = 75,793.20/x
  3. Step 3: Cross multiply
    124,851x = 172,297.50 × 75,793.20
  4. Step 4: Simplify right side
    124,851x = 13,058,978,877
  5. Step 5: Solve for x
    x = 13,058,978,877/124,851
  6. Step 6: Final answer
    x = 104,596.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.