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Finding the Fourth Proportional to 208,896, 288,276.84 and 119,472

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Solution

The fourth proportional to 208,896, 288,276.84 and 119,472 is: 164,871.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,896 : 288,276.84 = 119,472 : x
  2. Step 2: Convert to fraction form
    208,896/288,276.84 = 119,472/x
  3. Step 3: Cross multiply
    208,896x = 288,276.84 × 119,472
  4. Step 4: Simplify right side
    208,896x = 34,441,010,628.48
  5. Step 5: Solve for x
    x = 34,441,010,628.48/208,896
  6. Step 6: Final answer
    x = 164,871.57

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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.