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Finding the Fourth Proportional to 145,043.48, 200,163.45 and 81,385.98

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Solution

The fourth proportional to 145,043.48, 200,163.45 and 81,385.98 is: 112,314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,043.48 : 200,163.45 = 81,385.98 : x
  2. Step 2: Convert to fraction form
    145,043.48/200,163.45 = 81,385.98/x
  3. Step 3: Cross multiply
    145,043.48x = 200,163.45 × 81,385.98
  4. Step 4: Simplify right side
    145,043.48x = 16,290,498,631.91
  5. Step 5: Solve for x
    x = 16,290,498,631.91/145,043.48
  6. Step 6: Final answer
    x = 112,314.59

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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.