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Finding the Fourth Proportional to 119,259.81, 164,517.89 and 90,916.29

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Solution

The fourth proportional to 119,259.81, 164,517.89 and 90,916.29 is: 125,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,259.81 : 164,517.89 = 90,916.29 : x
  2. Step 2: Convert to fraction form
    119,259.81/164,517.89 = 90,916.29/x
  3. Step 3: Cross multiply
    119,259.81x = 164,517.89 × 90,916.29
  4. Step 4: Simplify right side
    119,259.81x = 14,957,355,742.85
  5. Step 5: Solve for x
    x = 14,957,355,742.85/119,259.81
  6. Step 6: Final answer
    x = 125,418.24

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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.