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Finding the Fourth Proportional to 145,671.10, 201,045.29 and 82,021.30

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Solution

The fourth proportional to 145,671.10, 201,045.29 and 82,021.30 is: 113,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,671.10 : 201,045.29 = 82,021.30 : x
  2. Step 2: Convert to fraction form
    145,671.10/201,045.29 = 82,021.30/x
  3. Step 3: Cross multiply
    145,671.10x = 201,045.29 × 82,021.30
  4. Step 4: Simplify right side
    145,671.10x = 16,489,995,131.96
  5. Step 5: Solve for x
    x = 16,489,995,131.96/145,671.10
  6. Step 6: Final answer
    x = 113,200.18

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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.