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Finding the Fourth Proportional to 191,711.70, 287,567.55 and 120,852.90

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Solution

The fourth proportional to 191,711.70, 287,567.55 and 120,852.90 is: 181,279.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,711.70 : 287,567.55 = 120,852.90 : x
  2. Step 2: Convert to fraction form
    191,711.70/287,567.55 = 120,852.90/x
  3. Step 3: Cross multiply
    191,711.70x = 287,567.55 × 120,852.90
  4. Step 4: Simplify right side
    191,711.70x = 34,753,372,363.40
  5. Step 5: Solve for x
    x = 34,753,372,363.40/191,711.70
  6. Step 6: Final answer
    x = 181,279.35

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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.