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Finding the Fourth Proportional to 145,854, 201,273.48 and 82,188

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Solution

The fourth proportional to 145,854, 201,273.48 and 82,188 is: 113,416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,854 : 201,273.48 = 82,188 : x
  2. Step 2: Convert to fraction form
    145,854/201,273.48 = 82,188/x
  3. Step 3: Cross multiply
    145,854x = 201,273.48 × 82,188
  4. Step 4: Simplify right side
    145,854x = 16,542,264,774.24
  5. Step 5: Solve for x
    x = 16,542,264,774.24/145,854
  6. Step 6: Final answer
    x = 113,416.60

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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.