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Finding the Fourth Proportional to 64,877.78, 89,531.34 and 35,069.78

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Solution

The fourth proportional to 64,877.78, 89,531.34 and 35,069.78 is: 48,396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,877.78 : 89,531.34 = 35,069.78 : x
  2. Step 2: Convert to fraction form
    64,877.78/89,531.34 = 35,069.78/x
  3. Step 3: Cross multiply
    64,877.78x = 89,531.34 × 35,069.78
  4. Step 4: Simplify right side
    64,877.78x = 3,139,844,396.91
  5. Step 5: Solve for x
    x = 3,139,844,396.91/64,877.78
  6. Step 6: Final answer
    x = 48,396.30

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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.