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Finding the Fourth Proportional to 208,721, 288,034.98 and 119,298.92

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Solution

The fourth proportional to 208,721, 288,034.98 and 119,298.92 is: 164,632.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,721 : 288,034.98 = 119,298.92 : x
  2. Step 2: Convert to fraction form
    208,721/288,034.98 = 119,298.92/x
  3. Step 3: Cross multiply
    208,721x = 288,034.98 × 119,298.92
  4. Step 4: Simplify right side
    208,721x = 34,362,262,036.22
  5. Step 5: Solve for x
    x = 34,362,262,036.22/208,721
  6. Step 6: Final answer
    x = 164,632.51

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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.