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Finding the Fourth Proportional to 219,121.78, 302,386.74 and 122,320

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Solution

The fourth proportional to 219,121.78, 302,386.74 and 122,320 is: 168,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,121.78 : 302,386.74 = 122,320 : x
  2. Step 2: Convert to fraction form
    219,121.78/302,386.74 = 122,320/x
  3. Step 3: Cross multiply
    219,121.78x = 302,386.74 × 122,320
  4. Step 4: Simplify right side
    219,121.78x = 36,987,946,036.80
  5. Step 5: Solve for x
    x = 36,987,946,036.80/219,121.78
  6. Step 6: Final answer
    x = 168,800.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.