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Finding the Fourth Proportional to 188,461.97, 260,079.71 and 103,579.17

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Solution

The fourth proportional to 188,461.97, 260,079.71 and 103,579.17 is: 142,940.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,461.97 : 260,079.71 = 103,579.17 : x
  2. Step 2: Convert to fraction form
    188,461.97/260,079.71 = 103,579.17/x
  3. Step 3: Cross multiply
    188,461.97x = 260,079.71 × 103,579.17
  4. Step 4: Simplify right side
    188,461.97x = 26,938,839,977.74
  5. Step 5: Solve for x
    x = 26,938,839,977.74/188,461.97
  6. Step 6: Final answer
    x = 142,940.46

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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.