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Finding the Fourth Proportional to 75,103.77, 103,642.27 and 40,647.70

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Solution

The fourth proportional to 75,103.77, 103,642.27 and 40,647.70 is: 56,093.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,103.77 : 103,642.27 = 40,647.70 : x
  2. Step 2: Convert to fraction form
    75,103.77/103,642.27 = 40,647.70/x
  3. Step 3: Cross multiply
    75,103.77x = 103,642.27 × 40,647.70
  4. Step 4: Simplify right side
    75,103.77x = 4,212,819,898.28
  5. Step 5: Solve for x
    x = 4,212,819,898.28/75,103.77
  6. Step 6: Final answer
    x = 56,093.32

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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.