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Finding the Fourth Proportional to 53,987, 74,512.14 and 31,631

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Solution

The fourth proportional to 53,987, 74,512.14 and 31,631 is: 43,656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,987 : 74,512.14 = 31,631 : x
  2. Step 2: Convert to fraction form
    53,987/74,512.14 = 31,631/x
  3. Step 3: Cross multiply
    53,987x = 74,512.14 × 31,631
  4. Step 4: Simplify right side
    53,987x = 2,356,893,500.34
  5. Step 5: Solve for x
    x = 2,356,893,500.34/53,987
  6. Step 6: Final answer
    x = 43,656.69

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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.