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Finding the Fourth Proportional to 208,068.80, 287,133.78 and 117,454.22

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Solution

The fourth proportional to 208,068.80, 287,133.78 and 117,454.22 is: 162,086.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,068.80 : 287,133.78 = 117,454.22 : x
  2. Step 2: Convert to fraction form
    208,068.80/287,133.78 = 117,454.22/x
  3. Step 3: Cross multiply
    208,068.80x = 287,133.78 × 117,454.22
  4. Step 4: Simplify right side
    208,068.80x = 33,725,074,165.55
  5. Step 5: Solve for x
    x = 33,725,074,165.55/208,068.80
  6. Step 6: Final answer
    x = 162,086.17

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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.