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Finding the Fourth Proportional to 145,397.52, 200,649.42 and 81,734.76

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Solution

The fourth proportional to 145,397.52, 200,649.42 and 81,734.76 is: 112,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,397.52 : 200,649.42 = 81,734.76 : x
  2. Step 2: Convert to fraction form
    145,397.52/200,649.42 = 81,734.76/x
  3. Step 3: Cross multiply
    145,397.52x = 200,649.42 × 81,734.76
  4. Step 4: Simplify right side
    145,397.52x = 16,400,032,187.84
  5. Step 5: Solve for x
    x = 16,400,032,187.84/145,397.52
  6. Step 6: Final answer
    x = 112,794.44

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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.