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Finding the Fourth Proportional to 145,113.80, 200,243.22 and 81,437

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Solution

The fourth proportional to 145,113.80, 200,243.22 and 81,437 is: 112,375.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,113.80 : 200,243.22 = 81,437 : x
  2. Step 2: Convert to fraction form
    145,113.80/200,243.22 = 81,437/x
  3. Step 3: Cross multiply
    145,113.80x = 200,243.22 × 81,437
  4. Step 4: Simplify right side
    145,113.80x = 16,307,207,107.14
  5. Step 5: Solve for x
    x = 16,307,207,107.14/145,113.80
  6. Step 6: Final answer
    x = 112,375.30

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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.