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Finding the Fourth Proportional to 75,101.69, 103,639.81 and 43,269.90

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Solution

The fourth proportional to 75,101.69, 103,639.81 and 43,269.90 is: 59,712.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,101.69 : 103,639.81 = 43,269.90 : x
  2. Step 2: Convert to fraction form
    75,101.69/103,639.81 = 43,269.90/x
  3. Step 3: Cross multiply
    75,101.69x = 103,639.81 × 43,269.90
  4. Step 4: Simplify right side
    75,101.69x = 4,484,484,214.72
  5. Step 5: Solve for x
    x = 4,484,484,214.72/75,101.69
  6. Step 6: Final answer
    x = 59,712.16

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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.