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Finding the Fourth Proportional to 145,523.98, 200,789.85 and 81,838.54

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Solution

The fourth proportional to 145,523.98, 200,789.85 and 81,838.54 is: 112,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,523.98 : 200,789.85 = 81,838.54 : x
  2. Step 2: Convert to fraction form
    145,523.98/200,789.85 = 81,838.54/x
  3. Step 3: Cross multiply
    145,523.98x = 200,789.85 × 81,838.54
  4. Step 4: Simplify right side
    145,523.98x = 16,432,348,170.82
  5. Step 5: Solve for x
    x = 16,432,348,170.82/145,523.98
  6. Step 6: Final answer
    x = 112,918.49

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1.5x scale

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.