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Finding the Fourth Proportional to 191,182.51, 286,606.09 and 72,775.09

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Solution

The fourth proportional to 191,182.51, 286,606.09 and 72,775.09 is: 109,098.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,182.51 : 286,606.09 = 72,775.09 : x
  2. Step 2: Convert to fraction form
    191,182.51/286,606.09 = 72,775.09/x
  3. Step 3: Cross multiply
    191,182.51x = 286,606.09 × 72,775.09
  4. Step 4: Simplify right side
    191,182.51x = 20,857,783,994.30
  5. Step 5: Solve for x
    x = 20,857,783,994.30/191,182.51
  6. Step 6: Final answer
    x = 109,098.81

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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.