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Finding the Fourth Proportional to 71,842.82, 99,143.09 and 40,011.71

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Solution

The fourth proportional to 71,842.82, 99,143.09 and 40,011.71 is: 55,216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,842.82 : 99,143.09 = 40,011.71 : x
  2. Step 2: Convert to fraction form
    71,842.82/99,143.09 = 40,011.71/x
  3. Step 3: Cross multiply
    71,842.82x = 99,143.09 × 40,011.71
  4. Step 4: Simplify right side
    71,842.82x = 3,966,884,913.47
  5. Step 5: Solve for x
    x = 3,966,884,913.47/71,842.82
  6. Step 6: Final answer
    x = 55,216.17

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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.