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Finding the Fourth Proportional to 72,972.50, 109,410.14 and 26,219.30

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Solution

The fourth proportional to 72,972.50, 109,410.14 and 26,219.30 is: 39,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,972.50 : 109,410.14 = 26,219.30 : x
  2. Step 2: Convert to fraction form
    72,972.50/109,410.14 = 26,219.30/x
  3. Step 3: Cross multiply
    72,972.50x = 109,410.14 × 26,219.30
  4. Step 4: Simplify right side
    72,972.50x = 2,868,656,802.20
  5. Step 5: Solve for x
    x = 2,868,656,802.20/72,972.50
  6. Step 6: Final answer
    x = 39,311.48

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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.