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Finding the Fourth Proportional to 90,984.80, 136,483.68 and 31,813.76

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Solution

The fourth proportional to 90,984.80, 136,483.68 and 31,813.76 is: 47,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,984.80 : 136,483.68 = 31,813.76 : x
  2. Step 2: Convert to fraction form
    90,984.80/136,483.68 = 31,813.76/x
  3. Step 3: Cross multiply
    90,984.80x = 136,483.68 × 31,813.76
  4. Step 4: Simplify right side
    90,984.80x = 4,342,059,039.44
  5. Step 5: Solve for x
    x = 4,342,059,039.44/90,984.80
  6. Step 6: Final answer
    x = 47,722.91

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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.