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Finding the Fourth Proportional to 205,148.60, 307,809.30 and 111,721.40

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Solution

The fourth proportional to 205,148.60, 307,809.30 and 111,721.40 is: 167,629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,148.60 : 307,809.30 = 111,721.40 : x
  2. Step 2: Convert to fraction form
    205,148.60/307,809.30 = 111,721.40/x
  3. Step 3: Cross multiply
    205,148.60x = 307,809.30 × 111,721.40
  4. Step 4: Simplify right side
    205,148.60x = 34,388,885,929.02
  5. Step 5: Solve for x
    x = 34,388,885,929.02/205,148.60
  6. Step 6: Final answer
    x = 167,629.15

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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.