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Finding the Fourth Proportional to 72,802.64, 109,206.12 and 20,216

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Solution

The fourth proportional to 72,802.64, 109,206.12 and 20,216 is: 30,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,802.64 : 109,206.12 = 20,216 : x
  2. Step 2: Convert to fraction form
    72,802.64/109,206.12 = 20,216/x
  3. Step 3: Cross multiply
    72,802.64x = 109,206.12 × 20,216
  4. Step 4: Simplify right side
    72,802.64x = 2,207,710,921.92
  5. Step 5: Solve for x
    x = 2,207,710,921.92/72,802.64
  6. Step 6: Final answer
    x = 30,324.60

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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.