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Finding the Fourth Proportional to 83,662.85, 115,421.89 and 47,833.64

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Solution

The fourth proportional to 83,662.85, 115,421.89 and 47,833.64 is: 65,991.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,662.85 : 115,421.89 = 47,833.64 : x
  2. Step 2: Convert to fraction form
    83,662.85/115,421.89 = 47,833.64/x
  3. Step 3: Cross multiply
    83,662.85x = 115,421.89 × 47,833.64
  4. Step 4: Simplify right side
    83,662.85x = 5,521,048,825.67
  5. Step 5: Solve for x
    x = 5,521,048,825.67/83,662.85
  6. Step 6: Final answer
    x = 65,991.64

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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.