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Finding the Fourth Proportional to 90,859.84, 136,312.44 and 31,696

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Solution

The fourth proportional to 90,859.84, 136,312.44 and 31,696 is: 47,551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,859.84 : 136,312.44 = 31,696 : x
  2. Step 2: Convert to fraction form
    90,859.84/136,312.44 = 31,696/x
  3. Step 3: Cross multiply
    90,859.84x = 136,312.44 × 31,696
  4. Step 4: Simplify right side
    90,859.84x = 4,320,559,098.24
  5. Step 5: Solve for x
    x = 4,320,559,098.24/90,859.84
  6. Step 6: Final answer
    x = 47,551.91

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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.