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Finding the Fourth Proportional to 71,812.89, 107,669.37 and 31,810.16

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Solution

The fourth proportional to 71,812.89, 107,669.37 and 31,810.16 is: 47,693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,812.89 : 107,669.37 = 31,810.16 : x
  2. Step 2: Convert to fraction form
    71,812.89/107,669.37 = 31,810.16/x
  3. Step 3: Cross multiply
    71,812.89x = 107,669.37 × 31,810.16
  4. Step 4: Simplify right side
    71,812.89x = 3,424,979,348.45
  5. Step 5: Solve for x
    x = 3,424,979,348.45/71,812.89
  6. Step 6: Final answer
    x = 47,693.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.