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Finding the Fourth Proportional to 119,354.78, 164,706.31 and 65,639.80

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Solution

The fourth proportional to 119,354.78, 164,706.31 and 65,639.80 is: 90,581.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,354.78 : 164,706.31 = 65,639.80 : x
  2. Step 2: Convert to fraction form
    119,354.78/164,706.31 = 65,639.80/x
  3. Step 3: Cross multiply
    119,354.78x = 164,706.31 × 65,639.80
  4. Step 4: Simplify right side
    119,354.78x = 10,811,288,671.27
  5. Step 5: Solve for x
    x = 10,811,288,671.27/119,354.78
  6. Step 6: Final answer
    x = 90,581.11

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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.