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Finding the Fourth Proportional to 145,137.82, 200,287.01 and 80,603.40

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Solution

The fourth proportional to 145,137.82, 200,287.01 and 80,603.40 is: 111,230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,137.82 : 200,287.01 = 80,603.40 : x
  2. Step 2: Convert to fraction form
    145,137.82/200,287.01 = 80,603.40/x
  3. Step 3: Cross multiply
    145,137.82x = 200,287.01 × 80,603.40
  4. Step 4: Simplify right side
    145,137.82x = 16,143,813,981.83
  5. Step 5: Solve for x
    x = 16,143,813,981.83/145,137.82
  6. Step 6: Final answer
    x = 111,230.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.