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Finding the Fourth Proportional to 188,786, 283,179 and 77,980.88

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Solution

The fourth proportional to 188,786, 283,179 and 77,980.88 is: 116,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,786 : 283,179 = 77,980.88 : x
  2. Step 2: Convert to fraction form
    188,786/283,179 = 77,980.88/x
  3. Step 3: Cross multiply
    188,786x = 283,179 × 77,980.88
  4. Step 4: Simplify right side
    188,786x = 22,082,547,617.52
  5. Step 5: Solve for x
    x = 22,082,547,617.52/188,786
  6. Step 6: Final answer
    x = 116,971.32

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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.