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Finding the Fourth Proportional to 149,726.34, 206,619.63 and 85,194.17

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Solution

The fourth proportional to 149,726.34, 206,619.63 and 85,194.17 is: 117,566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,726.34 : 206,619.63 = 85,194.17 : x
  2. Step 2: Convert to fraction form
    149,726.34/206,619.63 = 85,194.17/x
  3. Step 3: Cross multiply
    149,726.34x = 206,619.63 × 85,194.17
  4. Step 4: Simplify right side
    149,726.34x = 17,602,787,305.80
  5. Step 5: Solve for x
    x = 17,602,787,305.80/149,726.34
  6. Step 6: Final answer
    x = 117,566.40

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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.