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Finding the Fourth Proportional to 119,393.17, 164,765.13 and 65,678.19

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Solution

The fourth proportional to 119,393.17, 164,765.13 and 65,678.19 is: 90,637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,393.17 : 164,765.13 = 65,678.19 : x
  2. Step 2: Convert to fraction form
    119,393.17/164,765.13 = 65,678.19/x
  3. Step 3: Cross multiply
    119,393.17x = 164,765.13 × 65,678.19
  4. Step 4: Simplify right side
    119,393.17x = 10,821,474,649.35
  5. Step 5: Solve for x
    x = 10,821,474,649.35/119,393.17
  6. Step 6: Final answer
    x = 90,637.30

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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.