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Finding the Fourth Proportional to 205,441.40, 307,967.70 and 121,266.20

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Solution

The fourth proportional to 205,441.40, 307,967.70 and 121,266.20 is: 181,784.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,441.40 : 307,967.70 = 121,266.20 : x
  2. Step 2: Convert to fraction form
    205,441.40/307,967.70 = 121,266.20/x
  3. Step 3: Cross multiply
    205,441.40x = 307,967.70 × 121,266.20
  4. Step 4: Simplify right side
    205,441.40x = 37,346,072,701.74
  5. Step 5: Solve for x
    x = 37,346,072,701.74/205,441.40
  6. Step 6: Final answer
    x = 181,784.55

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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.