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Finding the Fourth Proportional to 72,570.78, 108,860.22 and 22,657.77

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Solution

The fourth proportional to 72,570.78, 108,860.22 and 22,657.77 is: 33,987.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,570.78 : 108,860.22 = 22,657.77 : x
  2. Step 2: Convert to fraction form
    72,570.78/108,860.22 = 22,657.77/x
  3. Step 3: Cross multiply
    72,570.78x = 108,860.22 × 22,657.77
  4. Step 4: Simplify right side
    72,570.78x = 2,466,529,826.91
  5. Step 5: Solve for x
    x = 2,466,529,826.91/72,570.78
  6. Step 6: Final answer
    x = 33,987.92

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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.