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Finding the Fourth Proportional to 191,690.27, 287,535.35 and 51,448.89

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Solution

The fourth proportional to 191,690.27, 287,535.35 and 51,448.89 is: 77,173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,690.27 : 287,535.35 = 51,448.89 : x
  2. Step 2: Convert to fraction form
    191,690.27/287,535.35 = 51,448.89/x
  3. Step 3: Cross multiply
    191,690.27x = 287,535.35 × 51,448.89
  4. Step 4: Simplify right side
    191,690.27x = 14,793,375,800.14
  5. Step 5: Solve for x
    x = 14,793,375,800.14/191,690.27
  6. Step 6: Final answer
    x = 77,173.33

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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.