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Finding the Fourth Proportional to 145,549.76, 200,857.84 and 81,888

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Solution

The fourth proportional to 145,549.76, 200,857.84 and 81,888 is: 113,004.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,549.76 : 200,857.84 = 81,888 : x
  2. Step 2: Convert to fraction form
    145,549.76/200,857.84 = 81,888/x
  3. Step 3: Cross multiply
    145,549.76x = 200,857.84 × 81,888
  4. Step 4: Simplify right side
    145,549.76x = 16,447,846,801.92
  5. Step 5: Solve for x
    x = 16,447,846,801.92/145,549.76
  6. Step 6: Final answer
    x = 113,004.97

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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.