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Finding the Fourth Proportional to 119,138.29, 164,411.98 and 65,424.43

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Solution

The fourth proportional to 119,138.29, 164,411.98 and 65,424.43 is: 90,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,138.29 : 164,411.98 = 65,424.43 : x
  2. Step 2: Convert to fraction form
    119,138.29/164,411.98 = 65,424.43/x
  3. Step 3: Cross multiply
    119,138.29x = 164,411.98 × 65,424.43
  4. Step 4: Simplify right side
    119,138.29x = 10,756,559,502.08
  5. Step 5: Solve for x
    x = 10,756,559,502.08/119,138.29
  6. Step 6: Final answer
    x = 90,286.34

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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.