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Finding the Fourth Proportional to 205,106.40, 307,486.80 and 106,610.40

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Solution

The fourth proportional to 205,106.40, 307,486.80 and 106,610.40 is: 159,825.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,106.40 : 307,486.80 = 106,610.40 : x
  2. Step 2: Convert to fraction form
    205,106.40/307,486.80 = 106,610.40/x
  3. Step 3: Cross multiply
    205,106.40x = 307,486.80 × 106,610.40
  4. Step 4: Simplify right side
    205,106.40x = 32,781,290,742.72
  5. Step 5: Solve for x
    x = 32,781,290,742.72/205,106.40
  6. Step 6: Final answer
    x = 159,825.78

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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.