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Finding the Fourth Proportional to 145,399.59, 200,649.69 and 81,737.44

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Solution

The fourth proportional to 145,399.59, 200,649.69 and 81,737.44 is: 112,796.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,399.59 : 200,649.69 = 81,737.44 : x
  2. Step 2: Convert to fraction form
    145,399.59/200,649.69 = 81,737.44/x
  3. Step 3: Cross multiply
    145,399.59x = 200,649.69 × 81,737.44
  4. Step 4: Simplify right side
    145,399.59x = 16,400,591,495.77
  5. Step 5: Solve for x
    x = 16,400,591,495.77/145,399.59
  6. Step 6: Final answer
    x = 112,796.68

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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.