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Finding the Fourth Proportional to 90,670.94, 136,031.94 and 31,512.59

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Solution

The fourth proportional to 90,670.94, 136,031.94 and 31,512.59 is: 47,277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,670.94 : 136,031.94 = 31,512.59 : x
  2. Step 2: Convert to fraction form
    90,670.94/136,031.94 = 31,512.59/x
  3. Step 3: Cross multiply
    90,670.94x = 136,031.94 × 31,512.59
  4. Step 4: Simplify right side
    90,670.94x = 4,286,718,752.12
  5. Step 5: Solve for x
    x = 4,286,718,752.12/90,670.94
  6. Step 6: Final answer
    x = 47,277.76

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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.