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Finding the Fourth Proportional to 99,778, 149,696.70 and 57,647.80

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Solution

The fourth proportional to 99,778, 149,696.70 and 57,647.80 is: 86,488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,778 : 149,696.70 = 57,647.80 : x
  2. Step 2: Convert to fraction form
    99,778/149,696.70 = 57,647.80/x
  3. Step 3: Cross multiply
    99,778x = 149,696.70 × 57,647.80
  4. Step 4: Simplify right side
    99,778x = 8,629,685,422.26
  5. Step 5: Solve for x
    x = 8,629,685,422.26/99,778
  6. Step 6: Final answer
    x = 86,488.86

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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.