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Finding the Fourth Proportional to 83,078.15, 114,646.36 and 47,267.39

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Solution

The fourth proportional to 83,078.15, 114,646.36 and 47,267.39 is: 65,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,078.15 : 114,646.36 = 47,267.39 : x
  2. Step 2: Convert to fraction form
    83,078.15/114,646.36 = 47,267.39/x
  3. Step 3: Cross multiply
    83,078.15x = 114,646.36 × 47,267.39
  4. Step 4: Simplify right side
    83,078.15x = 5,419,034,210.20
  5. Step 5: Solve for x
    x = 5,419,034,210.20/83,078.15
  6. Step 6: Final answer
    x = 65,228.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.