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Finding the Fourth Proportional to 75,642.69, 104,387.28 and 43,378.50

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Solution

The fourth proportional to 75,642.69, 104,387.28 and 43,378.50 is: 59,862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,642.69 : 104,387.28 = 43,378.50 : x
  2. Step 2: Convert to fraction form
    75,642.69/104,387.28 = 43,378.50/x
  3. Step 3: Cross multiply
    75,642.69x = 104,387.28 × 43,378.50
  4. Step 4: Simplify right side
    75,642.69x = 4,528,163,625.48
  5. Step 5: Solve for x
    x = 4,528,163,625.48/75,642.69
  6. Step 6: Final answer
    x = 59,862.54

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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.