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Finding the Fourth Proportional to 145,577.28, 200,894.24 and 81,915.04

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Solution

The fourth proportional to 145,577.28, 200,894.24 and 81,915.04 is: 113,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,577.28 : 200,894.24 = 81,915.04 : x
  2. Step 2: Convert to fraction form
    145,577.28/200,894.24 = 81,915.04/x
  3. Step 3: Cross multiply
    145,577.28x = 200,894.24 × 81,915.04
  4. Step 4: Simplify right side
    145,577.28x = 16,456,259,705.37
  5. Step 5: Solve for x
    x = 16,456,259,705.37/145,577.28
  6. Step 6: Final answer
    x = 113,041.40

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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.