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Finding the Fourth Proportional to 119,122.16, 164,390.45 and 65,412

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Solution

The fourth proportional to 119,122.16, 164,390.45 and 65,412 is: 90,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,122.16 : 164,390.45 = 65,412 : x
  2. Step 2: Convert to fraction form
    119,122.16/164,390.45 = 65,412/x
  3. Step 3: Cross multiply
    119,122.16x = 164,390.45 × 65,412
  4. Step 4: Simplify right side
    119,122.16x = 10,753,107,788.34
  5. Step 5: Solve for x
    x = 10,753,107,788.34/119,122.16
  6. Step 6: Final answer
    x = 90,269.59

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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.