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Finding the Fourth Proportional to 42,741.20, 64,111.80 and 11,151.20

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Solution

The fourth proportional to 42,741.20, 64,111.80 and 11,151.20 is: 16,726.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,741.20 : 64,111.80 = 11,151.20 : x
  2. Step 2: Convert to fraction form
    42,741.20/64,111.80 = 11,151.20/x
  3. Step 3: Cross multiply
    42,741.20x = 64,111.80 × 11,151.20
  4. Step 4: Simplify right side
    42,741.20x = 714,923,504.16
  5. Step 5: Solve for x
    x = 714,923,504.16/42,741.20
  6. Step 6: Final answer
    x = 16,726.80

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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.