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Finding the Fourth Proportional to 119,124.65, 164,394.69 and 65,409.90

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Solution

The fourth proportional to 119,124.65, 164,394.69 and 65,409.90 is: 90,267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,124.65 : 164,394.69 = 65,409.90 : x
  2. Step 2: Convert to fraction form
    119,124.65/164,394.69 = 65,409.90/x
  3. Step 3: Cross multiply
    119,124.65x = 164,394.69 × 65,409.90
  4. Step 4: Simplify right side
    119,124.65x = 10,753,039,371.66
  5. Step 5: Solve for x
    x = 10,753,039,371.66/119,124.65
  6. Step 6: Final answer
    x = 90,267.12

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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.