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Finding the Fourth Proportional to 39,116.52, 53,978.40 and 22,981.44

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Solution

The fourth proportional to 39,116.52, 53,978.40 and 22,981.44 is: 31,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,116.52 : 53,978.40 = 22,981.44 : x
  2. Step 2: Convert to fraction form
    39,116.52/53,978.40 = 22,981.44/x
  3. Step 3: Cross multiply
    39,116.52x = 53,978.40 × 22,981.44
  4. Step 4: Simplify right side
    39,116.52x = 1,240,501,360.90
  5. Step 5: Solve for x
    x = 1,240,501,360.90/39,116.52
  6. Step 6: Final answer
    x = 31,712.98

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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.