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Finding the Fourth Proportional to 119,385.90, 164,751.62 and 65,669.74

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Solution

The fourth proportional to 119,385.90, 164,751.62 and 65,669.74 is: 90,623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,385.90 : 164,751.62 = 65,669.74 : x
  2. Step 2: Convert to fraction form
    119,385.90/164,751.62 = 65,669.74/x
  3. Step 3: Cross multiply
    119,385.90x = 164,751.62 × 65,669.74
  4. Step 4: Simplify right side
    119,385.90x = 10,819,195,679.14
  5. Step 5: Solve for x
    x = 10,819,195,679.14/119,385.90
  6. Step 6: Final answer
    x = 90,623.73

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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.