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Finding the Fourth Proportional to 83,645.70, 115,416.16 and 47,346.96

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Solution

The fourth proportional to 83,645.70, 115,416.16 and 47,346.96 is: 65,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,645.70 : 115,416.16 = 47,346.96 : x
  2. Step 2: Convert to fraction form
    83,645.70/115,416.16 = 47,346.96/x
  3. Step 3: Cross multiply
    83,645.70x = 115,416.16 × 47,346.96
  4. Step 4: Simplify right side
    83,645.70x = 5,464,604,310.87
  5. Step 5: Solve for x
    x = 5,464,604,310.87/83,645.70
  6. Step 6: Final answer
    x = 65,330.37

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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.