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Finding the Fourth Proportional to 205,099.80, 307,692.90 and 86,710.20

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Solution

The fourth proportional to 205,099.80, 307,692.90 and 86,710.20 is: 130,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,099.80 : 307,692.90 = 86,710.20 : x
  2. Step 2: Convert to fraction form
    205,099.80/307,692.90 = 86,710.20/x
  3. Step 3: Cross multiply
    205,099.80x = 307,692.90 × 86,710.20
  4. Step 4: Simplify right side
    205,099.80x = 26,680,112,897.58
  5. Step 5: Solve for x
    x = 26,680,112,897.58/205,099.80
  6. Step 6: Final answer
    x = 130,083.56

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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.