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Finding the Fourth Proportional to 65,039.40, 89,828.40 and 43,781.76

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Solution

The fourth proportional to 65,039.40, 89,828.40 and 43,781.76 is: 60,468.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,039.40 : 89,828.40 = 43,781.76 : x
  2. Step 2: Convert to fraction form
    65,039.40/89,828.40 = 43,781.76/x
  3. Step 3: Cross multiply
    65,039.40x = 89,828.40 × 43,781.76
  4. Step 4: Simplify right side
    65,039.40x = 3,932,845,449.98
  5. Step 5: Solve for x
    x = 3,932,845,449.98/65,039.40
  6. Step 6: Final answer
    x = 60,468.66

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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.