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Finding the Fourth Proportional to 72,802.50, 109,204.36 and 20,216.08

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Solution

The fourth proportional to 72,802.50, 109,204.36 and 20,216.08 is: 30,324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,802.50 : 109,204.36 = 20,216.08 : x
  2. Step 2: Convert to fraction form
    72,802.50/109,204.36 = 20,216.08/x
  3. Step 3: Cross multiply
    72,802.50x = 109,204.36 × 20,216.08
  4. Step 4: Simplify right side
    72,802.50x = 2,207,684,078.11
  5. Step 5: Solve for x
    x = 2,207,684,078.11/72,802.50
  6. Step 6: Final answer
    x = 30,324.29

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1.5x scale

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.