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Finding the Fourth Proportional to 64,209.84, 88,612 and 35,915.44

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Solution

The fourth proportional to 64,209.84, 88,612 and 35,915.44 is: 49,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,209.84 : 88,612 = 35,915.44 : x
  2. Step 2: Convert to fraction form
    64,209.84/88,612 = 35,915.44/x
  3. Step 3: Cross multiply
    64,209.84x = 88,612 × 35,915.44
  4. Step 4: Simplify right side
    64,209.84x = 3,182,538,969.28
  5. Step 5: Solve for x
    x = 3,182,538,969.28/64,209.84
  6. Step 6: Final answer
    x = 49,564.66

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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.