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Finding the Fourth Proportional to 145,163.52, 200,324.16 and 81,499.84

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Solution

The fourth proportional to 145,163.52, 200,324.16 and 81,499.84 is: 112,468.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,163.52 : 200,324.16 = 81,499.84 : x
  2. Step 2: Convert to fraction form
    145,163.52/200,324.16 = 81,499.84/x
  3. Step 3: Cross multiply
    145,163.52x = 200,324.16 × 81,499.84
  4. Step 4: Simplify right side
    145,163.52x = 16,326,386,988.13
  5. Step 5: Solve for x
    x = 16,326,386,988.13/145,163.52
  6. Step 6: Final answer
    x = 112,468.94

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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.