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Finding the Fourth Proportional to 145,416.21, 200,709.96 and 88,874.97

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Solution

The fourth proportional to 145,416.21, 200,709.96 and 88,874.97 is: 122,669.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,416.21 : 200,709.96 = 88,874.97 : x
  2. Step 2: Convert to fraction form
    145,416.21/200,709.96 = 88,874.97/x
  3. Step 3: Cross multiply
    145,416.21x = 200,709.96 × 88,874.97
  4. Step 4: Simplify right side
    145,416.21x = 17,838,091,673.70
  5. Step 5: Solve for x
    x = 17,838,091,673.70/145,416.21
  6. Step 6: Final answer
    x = 122,669.21

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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.