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Finding the Fourth Proportional to 78,512.50, 117,699.81 and 31,161.01

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Solution

The fourth proportional to 78,512.50, 117,699.81 and 31,161.01 is: 46,714.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,512.50 : 117,699.81 = 31,161.01 : x
  2. Step 2: Convert to fraction form
    78,512.50/117,699.81 = 31,161.01/x
  3. Step 3: Cross multiply
    78,512.50x = 117,699.81 × 31,161.01
  4. Step 4: Simplify right side
    78,512.50x = 3,667,644,956.41
  5. Step 5: Solve for x
    x = 3,667,644,956.41/78,512.50
  6. Step 6: Final answer
    x = 46,714.15

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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.