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Finding the Fourth Proportional to 119,112.14, 164,376.54 and 65,402

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Solution

The fourth proportional to 119,112.14, 164,376.54 and 65,402 is: 90,255.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,112.14 : 164,376.54 = 65,402 : x
  2. Step 2: Convert to fraction form
    119,112.14/164,376.54 = 65,402/x
  3. Step 3: Cross multiply
    119,112.14x = 164,376.54 × 65,402
  4. Step 4: Simplify right side
    119,112.14x = 10,750,554,469.08
  5. Step 5: Solve for x
    x = 10,750,554,469.08/119,112.14
  6. Step 6: Final answer
    x = 90,255.74

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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.