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Finding the Fourth Proportional to 145,396.52, 200,648.04 and 81,733.76

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Solution

The fourth proportional to 145,396.52, 200,648.04 and 81,733.76 is: 112,793.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,396.52 : 200,648.04 = 81,733.76 : x
  2. Step 2: Convert to fraction form
    145,396.52/200,648.04 = 81,733.76/x
  3. Step 3: Cross multiply
    145,396.52x = 200,648.04 × 81,733.76
  4. Step 4: Simplify right side
    145,396.52x = 16,399,718,745.83
  5. Step 5: Solve for x
    x = 16,399,718,745.83/145,396.52
  6. Step 6: Final answer
    x = 112,793.06

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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.