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Finding the Fourth Proportional to 55,055.62, 75,978.17 and 31,181.95

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Solution

The fourth proportional to 55,055.62, 75,978.17 and 31,181.95 is: 43,031.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,055.62 : 75,978.17 = 31,181.95 : x
  2. Step 2: Convert to fraction form
    55,055.62/75,978.17 = 31,181.95/x
  3. Step 3: Cross multiply
    55,055.62x = 75,978.17 × 31,181.95
  4. Step 4: Simplify right side
    55,055.62x = 2,369,147,342.12
  5. Step 5: Solve for x
    x = 2,369,147,342.12/55,055.62
  6. Step 6: Final answer
    x = 43,031.89

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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.