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Finding the Fourth Proportional to 72,730.56, 109,095.86 and 22,815.02

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Solution

The fourth proportional to 72,730.56, 109,095.86 and 22,815.02 is: 34,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,730.56 : 109,095.86 = 22,815.02 : x
  2. Step 2: Convert to fraction form
    72,730.56/109,095.86 = 22,815.02/x
  3. Step 3: Cross multiply
    72,730.56x = 109,095.86 × 22,815.02
  4. Step 4: Simplify right side
    72,730.56x = 2,489,023,943.93
  5. Step 5: Solve for x
    x = 2,489,023,943.93/72,730.56
  6. Step 6: Final answer
    x = 34,222.53

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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.