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Finding the Fourth Proportional to 81,603.95, 122,407.27 and 28,297.62

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Solution

The fourth proportional to 81,603.95, 122,407.27 and 28,297.62 is: 42,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,603.95 : 122,407.27 = 28,297.62 : x
  2. Step 2: Convert to fraction form
    81,603.95/122,407.27 = 28,297.62/x
  3. Step 3: Cross multiply
    81,603.95x = 122,407.27 × 28,297.62
  4. Step 4: Simplify right side
    81,603.95x = 3,463,834,411.70
  5. Step 5: Solve for x
    x = 3,463,834,411.70/81,603.95
  6. Step 6: Final answer
    x = 42,446.90

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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.