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Finding the Fourth Proportional to 243,866.49, 365,708.82 and 83,897.70

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Solution

The fourth proportional to 243,866.49, 365,708.82 and 83,897.70 is: 125,815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,866.49 : 365,708.82 = 83,897.70 : x
  2. Step 2: Convert to fraction form
    243,866.49/365,708.82 = 83,897.70/x
  3. Step 3: Cross multiply
    243,866.49x = 365,708.82 × 83,897.70
  4. Step 4: Simplify right side
    243,866.49x = 30,682,128,867.71
  5. Step 5: Solve for x
    x = 30,682,128,867.71/243,866.49
  6. Step 6: Final answer
    x = 125,815.27

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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.