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Finding the Fourth Proportional to 145,356.87, 200,587.80 and 80,825.79

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Solution

The fourth proportional to 145,356.87, 200,587.80 and 80,825.79 is: 111,536.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,356.87 : 200,587.80 = 80,825.79 : x
  2. Step 2: Convert to fraction form
    145,356.87/200,587.80 = 80,825.79/x
  3. Step 3: Cross multiply
    145,356.87x = 200,587.80 × 80,825.79
  4. Step 4: Simplify right side
    145,356.87x = 16,212,667,399.36
  5. Step 5: Solve for x
    x = 16,212,667,399.36/145,356.87
  6. Step 6: Final answer
    x = 111,536.99

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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.