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Finding the Fourth Proportional to 145,563.84, 200,877.20 and 81,902.08

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Solution

The fourth proportional to 145,563.84, 200,877.20 and 81,902.08 is: 113,024.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,563.84 : 200,877.20 = 81,902.08 : x
  2. Step 2: Convert to fraction form
    145,563.84/200,877.20 = 81,902.08/x
  3. Step 3: Cross multiply
    145,563.84x = 200,877.20 × 81,902.08
  4. Step 4: Simplify right side
    145,563.84x = 16,452,260,504.58
  5. Step 5: Solve for x
    x = 16,452,260,504.58/145,563.84
  6. Step 6: Final answer
    x = 113,024.36

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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.