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Finding the Fourth Proportional to 145,475.66, 200,732.94 and 81,809.66

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Solution

The fourth proportional to 145,475.66, 200,732.94 and 81,809.66 is: 112,884.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,475.66 : 200,732.94 = 81,809.66 : x
  2. Step 2: Convert to fraction form
    145,475.66/200,732.94 = 81,809.66/x
  3. Step 3: Cross multiply
    145,475.66x = 200,732.94 × 81,809.66
  4. Step 4: Simplify right side
    145,475.66x = 16,421,892,568.54
  5. Step 5: Solve for x
    x = 16,421,892,568.54/145,475.66
  6. Step 6: Final answer
    x = 112,884.13

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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.