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Finding the Fourth Proportional to 152,102.28, 209,929.22 and 97,722.43

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Solution

The fourth proportional to 152,102.28, 209,929.22 and 97,722.43 is: 134,874.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,102.28 : 209,929.22 = 97,722.43 : x
  2. Step 2: Convert to fraction form
    152,102.28/209,929.22 = 97,722.43/x
  3. Step 3: Cross multiply
    152,102.28x = 209,929.22 × 97,722.43
  4. Step 4: Simplify right side
    152,102.28x = 20,514,792,456.76
  5. Step 5: Solve for x
    x = 20,514,792,456.76/152,102.28
  6. Step 6: Final answer
    x = 134,874.99

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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.