Home / 109,985.76-164,959.20-31,098.24

Finding the Fourth Proportional to 109,985.76, 164,959.20 and 31,098.24

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Solution

The fourth proportional to 109,985.76, 164,959.20 and 31,098.24 is: 46,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,985.76 : 164,959.20 = 31,098.24 : x
  2. Step 2: Convert to fraction form
    109,985.76/164,959.20 = 31,098.24/x
  3. Step 3: Cross multiply
    109,985.76x = 164,959.20 × 31,098.24
  4. Step 4: Simplify right side
    109,985.76x = 5,129,940,791.81
  5. Step 5: Solve for x
    x = 5,129,940,791.81/109,985.76
  6. Step 6: Final answer
    x = 46,641.86

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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.