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Finding the Fourth Proportional to 71,400.47, 107,130.11 and 31,398.89

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Solution

The fourth proportional to 71,400.47, 107,130.11 and 31,398.89 is: 47,111.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,400.47 : 107,130.11 = 31,398.89 : x
  2. Step 2: Convert to fraction form
    71,400.47/107,130.11 = 31,398.89/x
  3. Step 3: Cross multiply
    71,400.47x = 107,130.11 × 31,398.89
  4. Step 4: Simplify right side
    71,400.47x = 3,363,765,846.93
  5. Step 5: Solve for x
    x = 3,363,765,846.93/71,400.47
  6. Step 6: Final answer
    x = 47,111.26

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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.