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Finding the Fourth Proportional to 86,458.74, 129,746.43 and 33,861.66

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Solution

The fourth proportional to 86,458.74, 129,746.43 and 33,861.66 is: 50,815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,458.74 : 129,746.43 = 33,861.66 : x
  2. Step 2: Convert to fraction form
    86,458.74/129,746.43 = 33,861.66/x
  3. Step 3: Cross multiply
    86,458.74x = 129,746.43 × 33,861.66
  4. Step 4: Simplify right side
    86,458.74x = 4,393,429,498.87
  5. Step 5: Solve for x
    x = 4,393,429,498.87/86,458.74
  6. Step 6: Final answer
    x = 50,815.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.