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Finding the Fourth Proportional to 205,009.80, 307,514.70 and 125,867.40

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Solution

The fourth proportional to 205,009.80, 307,514.70 and 125,867.40 is: 188,801.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,009.80 : 307,514.70 = 125,867.40 : x
  2. Step 2: Convert to fraction form
    205,009.80/307,514.70 = 125,867.40/x
  3. Step 3: Cross multiply
    205,009.80x = 307,514.70 × 125,867.40
  4. Step 4: Simplify right side
    205,009.80x = 38,706,075,750.78
  5. Step 5: Solve for x
    x = 38,706,075,750.78/205,009.80
  6. Step 6: Final answer
    x = 188,801.10

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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.