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Finding the Fourth Proportional to 208,729, 288,046.02 and 119,306.92

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Solution

The fourth proportional to 208,729, 288,046.02 and 119,306.92 is: 164,643.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,729 : 288,046.02 = 119,306.92 : x
  2. Step 2: Convert to fraction form
    208,729/288,046.02 = 119,306.92/x
  3. Step 3: Cross multiply
    208,729x = 288,046.02 × 119,306.92
  4. Step 4: Simplify right side
    208,729x = 34,365,883,464.46
  5. Step 5: Solve for x
    x = 34,365,883,464.46/208,729
  6. Step 6: Final answer
    x = 164,643.55

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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.