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Finding the Fourth Proportional to 145,573.31, 200,894.24 and 81,911.12

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Solution

The fourth proportional to 145,573.31, 200,894.24 and 81,911.12 is: 113,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,573.31 : 200,894.24 = 81,911.12 : x
  2. Step 2: Convert to fraction form
    145,573.31/200,894.24 = 81,911.12/x
  3. Step 3: Cross multiply
    145,573.31x = 200,894.24 × 81,911.12
  4. Step 4: Simplify right side
    145,573.31x = 16,455,471,400.26
  5. Step 5: Solve for x
    x = 16,455,471,400.26/145,573.31
  6. Step 6: Final answer
    x = 113,039.07

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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.