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Finding the Fourth Proportional to 191,177.80, 286,824.30 and 135,881.80

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Solution

The fourth proportional to 191,177.80, 286,824.30 and 135,881.80 is: 203,863.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,177.80 : 286,824.30 = 135,881.80 : x
  2. Step 2: Convert to fraction form
    191,177.80/286,824.30 = 135,881.80/x
  3. Step 3: Cross multiply
    191,177.80x = 286,824.30 × 135,881.80
  4. Step 4: Simplify right side
    191,177.80x = 38,974,202,167.74
  5. Step 5: Solve for x
    x = 38,974,202,167.74/191,177.80
  6. Step 6: Final answer
    x = 203,863.64

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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.