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Finding the Fourth Proportional to 165,614, 228,547.86 and 90,163.04

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Solution

The fourth proportional to 165,614, 228,547.86 and 90,163.04 is: 124,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,614 : 228,547.86 = 90,163.04 : x
  2. Step 2: Convert to fraction form
    165,614/228,547.86 = 90,163.04/x
  3. Step 3: Cross multiply
    165,614x = 228,547.86 × 90,163.04
  4. Step 4: Simplify right side
    165,614x = 20,606,569,843.09
  5. Step 5: Solve for x
    x = 20,606,569,843.09/165,614
  6. Step 6: Final answer
    x = 124,425.29

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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.