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Finding the Fourth Proportional to 145,577.82, 200,900.46 and 81,915.62

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Solution

The fourth proportional to 145,577.82, 200,900.46 and 81,915.62 is: 113,045.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,577.82 : 200,900.46 = 81,915.62 : x
  2. Step 2: Convert to fraction form
    145,577.82/200,900.46 = 81,915.62/x
  3. Step 3: Cross multiply
    145,577.82x = 200,900.46 × 81,915.62
  4. Step 4: Simplify right side
    145,577.82x = 16,456,884,734.68
  5. Step 5: Solve for x
    x = 16,456,884,734.68/145,577.82
  6. Step 6: Final answer
    x = 113,045.28

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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.