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Finding the Fourth Proportional to 83,083.93, 114,367.19 and 72,455.11

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Solution

The fourth proportional to 83,083.93, 114,367.19 and 72,455.11 is: 99,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,083.93 : 114,367.19 = 72,455.11 : x
  2. Step 2: Convert to fraction form
    83,083.93/114,367.19 = 72,455.11/x
  3. Step 3: Cross multiply
    83,083.93x = 114,367.19 × 72,455.11
  4. Step 4: Simplify right side
    83,083.93x = 8,286,487,091.21
  5. Step 5: Solve for x
    x = 8,286,487,091.21/83,083.93
  6. Step 6: Final answer
    x = 99,736.34

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1.5x scale

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.