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Finding the Fourth Proportional to 208,708, 288,017.04 and 119,285.92

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Solution

The fourth proportional to 208,708, 288,017.04 and 119,285.92 is: 164,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,708 : 288,017.04 = 119,285.92 : x
  2. Step 2: Convert to fraction form
    208,708/288,017.04 = 119,285.92/x
  3. Step 3: Cross multiply
    208,708x = 288,017.04 × 119,285.92
  4. Step 4: Simplify right side
    208,708x = 34,356,377,592.08
  5. Step 5: Solve for x
    x = 34,356,377,592.08/208,708
  6. Step 6: Final answer
    x = 164,614.57

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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.