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Finding the Fourth Proportional to 75,999.57, 113,937.86 and 31,659.63

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Solution

The fourth proportional to 75,999.57, 113,937.86 and 31,659.63 is: 47,463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,999.57 : 113,937.86 = 31,659.63 : x
  2. Step 2: Convert to fraction form
    75,999.57/113,937.86 = 31,659.63/x
  3. Step 3: Cross multiply
    75,999.57x = 113,937.86 × 31,659.63
  4. Step 4: Simplify right side
    75,999.57x = 3,607,230,569.74
  5. Step 5: Solve for x
    x = 3,607,230,569.74/75,999.57
  6. Step 6: Final answer
    x = 47,463.83

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1.5x scale

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.