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Finding the Fourth Proportional to 119,084.48, 164,344.88 and 78,728.12

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Solution

The fourth proportional to 119,084.48, 164,344.88 and 78,728.12 is: 108,650.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,084.48 : 164,344.88 = 78,728.12 : x
  2. Step 2: Convert to fraction form
    119,084.48/164,344.88 = 78,728.12/x
  3. Step 3: Cross multiply
    119,084.48x = 164,344.88 × 78,728.12
  4. Step 4: Simplify right side
    119,084.48x = 12,938,563,434.03
  5. Step 5: Solve for x
    x = 12,938,563,434.03/119,084.48
  6. Step 6: Final answer
    x = 108,650.29

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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.