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Finding the Fourth Proportional to 208,086.18, 287,136.95 and 120,854.24

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Solution

The fourth proportional to 208,086.18, 287,136.95 and 120,854.24 is: 166,766.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,086.18 : 287,136.95 = 120,854.24 : x
  2. Step 2: Convert to fraction form
    208,086.18/287,136.95 = 120,854.24/x
  3. Step 3: Cross multiply
    208,086.18x = 287,136.95 × 120,854.24
  4. Step 4: Simplify right side
    208,086.18x = 34,701,717,981.74
  5. Step 5: Solve for x
    x = 34,701,717,981.74/208,086.18
  6. Step 6: Final answer
    x = 166,766.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.