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Finding the Fourth Proportional to 102,111.60, 153,181.80 and 31,983.60

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Solution

The fourth proportional to 102,111.60, 153,181.80 and 31,983.60 is: 47,979.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,111.60 : 153,181.80 = 31,983.60 : x
  2. Step 2: Convert to fraction form
    102,111.60/153,181.80 = 31,983.60/x
  3. Step 3: Cross multiply
    102,111.60x = 153,181.80 × 31,983.60
  4. Step 4: Simplify right side
    102,111.60x = 4,899,305,418.48
  5. Step 5: Solve for x
    x = 4,899,305,418.48/102,111.60
  6. Step 6: Final answer
    x = 47,979.91

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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.