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Finding the Fourth Proportional to 208,870, 288,240.60 and 119,446

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Solution

The fourth proportional to 208,870, 288,240.60 and 119,446 is: 164,835.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,870 : 288,240.60 = 119,446 : x
  2. Step 2: Convert to fraction form
    208,870/288,240.60 = 119,446/x
  3. Step 3: Cross multiply
    208,870x = 288,240.60 × 119,446
  4. Step 4: Simplify right side
    208,870x = 34,429,186,707.60
  5. Step 5: Solve for x
    x = 34,429,186,707.60/208,870
  6. Step 6: Final answer
    x = 164,835.48

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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.