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Finding the Fourth Proportional to 119,685, 165,163.10 and 65,970.20

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Solution

The fourth proportional to 119,685, 165,163.10 and 65,970.20 is: 91,037.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,685 : 165,163.10 = 65,970.20 : x
  2. Step 2: Convert to fraction form
    119,685/165,163.10 = 65,970.20/x
  3. Step 3: Cross multiply
    119,685x = 165,163.10 × 65,970.20
  4. Step 4: Simplify right side
    119,685x = 10,895,842,739.62
  5. Step 5: Solve for x
    x = 10,895,842,739.62/119,685
  6. Step 6: Final answer
    x = 91,037.66

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1.5x scale

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.