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Finding the Fourth Proportional to 109,247.80, 163,877.10 and 56,759.80

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Solution

The fourth proportional to 109,247.80, 163,877.10 and 56,759.80 is: 85,142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,247.80 : 163,877.10 = 56,759.80 : x
  2. Step 2: Convert to fraction form
    109,247.80/163,877.10 = 56,759.80/x
  3. Step 3: Cross multiply
    109,247.80x = 163,877.10 × 56,759.80
  4. Step 4: Simplify right side
    109,247.80x = 9,301,631,420.58
  5. Step 5: Solve for x
    x = 9,301,631,420.58/109,247.80
  6. Step 6: Final answer
    x = 85,142.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.