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Finding the Fourth Proportional to 83,483.15, 115,224.15 and 76,758.12

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Solution

The fourth proportional to 83,483.15, 115,224.15 and 76,758.12 is: 105,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,483.15 : 115,224.15 = 76,758.12 : x
  2. Step 2: Convert to fraction form
    83,483.15/115,224.15 = 76,758.12/x
  3. Step 3: Cross multiply
    83,483.15x = 115,224.15 × 76,758.12
  4. Step 4: Simplify right side
    83,483.15x = 8,844,389,132.60
  5. Step 5: Solve for x
    x = 8,844,389,132.60/83,483.15
  6. Step 6: Final answer
    x = 105,942.21

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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.