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Finding the Fourth Proportional to 119,406.70, 164,821.70 and 74,111.19

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Solution

The fourth proportional to 119,406.70, 164,821.70 and 74,111.19 is: 102,298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,406.70 : 164,821.70 = 74,111.19 : x
  2. Step 2: Convert to fraction form
    119,406.70/164,821.70 = 74,111.19/x
  3. Step 3: Cross multiply
    119,406.70x = 164,821.70 × 74,111.19
  4. Step 4: Simplify right side
    119,406.70x = 12,215,132,324.82
  5. Step 5: Solve for x
    x = 12,215,132,324.82/119,406.70
  6. Step 6: Final answer
    x = 102,298.55

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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.