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Finding the Fourth Proportional to 191,764.80, 287,452.80 and 112,838.40

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Solution

The fourth proportional to 191,764.80, 287,452.80 and 112,838.40 is: 169,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,764.80 : 287,452.80 = 112,838.40 : x
  2. Step 2: Convert to fraction form
    191,764.80/287,452.80 = 112,838.40/x
  3. Step 3: Cross multiply
    191,764.80x = 287,452.80 × 112,838.40
  4. Step 4: Simplify right side
    191,764.80x = 32,435,714,027.52
  5. Step 5: Solve for x
    x = 32,435,714,027.52/191,764.80
  6. Step 6: Final answer
    x = 169,143.21

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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.