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Finding the Fourth Proportional to 84,097.80, 126,146.70 and 57,722.58

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Solution

The fourth proportional to 84,097.80, 126,146.70 and 57,722.58 is: 86,583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,097.80 : 126,146.70 = 57,722.58 : x
  2. Step 2: Convert to fraction form
    84,097.80/126,146.70 = 57,722.58/x
  3. Step 3: Cross multiply
    84,097.80x = 126,146.70 × 57,722.58
  4. Step 4: Simplify right side
    84,097.80x = 7,281,513,132.06
  5. Step 5: Solve for x
    x = 7,281,513,132.06/84,097.80
  6. Step 6: Final answer
    x = 86,583.87

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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.