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Finding the Fourth Proportional to 83,496.74, 115,242.48 and 76,771.71

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Solution

The fourth proportional to 83,496.74, 115,242.48 and 76,771.71 is: 105,960.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,496.74 : 115,242.48 = 76,771.71 : x
  2. Step 2: Convert to fraction form
    83,496.74/115,242.48 = 76,771.71/x
  3. Step 3: Cross multiply
    83,496.74x = 115,242.48 × 76,771.71
  4. Step 4: Simplify right side
    83,496.74x = 8,847,362,254.24
  5. Step 5: Solve for x
    x = 8,847,362,254.24/83,496.74
  6. Step 6: Final answer
    x = 105,960.58

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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.