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Finding the Fourth Proportional to 188,446, 282,798.60 and 77,638

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Solution

The fourth proportional to 188,446, 282,798.60 and 77,638 is: 116,510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,446 : 282,798.60 = 77,638 : x
  2. Step 2: Convert to fraction form
    188,446/282,798.60 = 77,638/x
  3. Step 3: Cross multiply
    188,446x = 282,798.60 × 77,638
  4. Step 4: Simplify right side
    188,446x = 21,955,917,706.80
  5. Step 5: Solve for x
    x = 21,955,917,706.80/188,446
  6. Step 6: Final answer
    x = 116,510.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.