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Finding the Fourth Proportional to 71,802.63, 99,089.34 and 39,973.68

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Solution

The fourth proportional to 71,802.63, 99,089.34 and 39,973.68 is: 55,164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,802.63 : 99,089.34 = 39,973.68 : x
  2. Step 2: Convert to fraction form
    71,802.63/99,089.34 = 39,973.68/x
  3. Step 3: Cross multiply
    71,802.63x = 99,089.34 × 39,973.68
  4. Step 4: Simplify right side
    71,802.63x = 3,960,965,568.57
  5. Step 5: Solve for x
    x = 3,960,965,568.57/71,802.63
  6. Step 6: Final answer
    x = 55,164.63

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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.