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Finding the Fourth Proportional to 91,161.36, 136,746.90 and 28,827

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Solution

The fourth proportional to 91,161.36, 136,746.90 and 28,827 is: 43,242.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,161.36 : 136,746.90 = 28,827 : x
  2. Step 2: Convert to fraction form
    91,161.36/136,746.90 = 28,827/x
  3. Step 3: Cross multiply
    91,161.36x = 136,746.90 × 28,827
  4. Step 4: Simplify right side
    91,161.36x = 3,942,002,886.30
  5. Step 5: Solve for x
    x = 3,942,002,886.30/91,161.36
  6. Step 6: Final answer
    x = 43,242.04

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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.