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Finding the Fourth Proportional to 90,751.44, 136,141.20 and 28,416

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Solution

The fourth proportional to 90,751.44, 136,141.20 and 28,416 is: 42,628.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,751.44 : 136,141.20 = 28,416 : x
  2. Step 2: Convert to fraction form
    90,751.44/136,141.20 = 28,416/x
  3. Step 3: Cross multiply
    90,751.44x = 136,141.20 × 28,416
  4. Step 4: Simplify right side
    90,751.44x = 3,868,588,339.20
  5. Step 5: Solve for x
    x = 3,868,588,339.20/90,751.44
  6. Step 6: Final answer
    x = 42,628.40

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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.