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Finding the Fourth Proportional to 91,184, 136,789.68 and 32,009.28

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Solution

The fourth proportional to 91,184, 136,789.68 and 32,009.28 is: 48,018.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,184 : 136,789.68 = 32,009.28 : x
  2. Step 2: Convert to fraction form
    91,184/136,789.68 = 32,009.28/x
  3. Step 3: Cross multiply
    91,184x = 136,789.68 × 32,009.28
  4. Step 4: Simplify right side
    91,184x = 4,378,539,168.23
  5. Step 5: Solve for x
    x = 4,378,539,168.23/91,184
  6. Step 6: Final answer
    x = 48,018.72

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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.