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Finding the Fourth Proportional to 119,649.80, 165,116.38 and 65,934.80

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Solution

The fourth proportional to 119,649.80, 165,116.38 and 65,934.80 is: 90,989.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,649.80 : 165,116.38 = 65,934.80 : x
  2. Step 2: Convert to fraction form
    119,649.80/165,116.38 = 65,934.80/x
  3. Step 3: Cross multiply
    119,649.80x = 165,116.38 × 65,934.80
  4. Step 4: Simplify right side
    119,649.80x = 10,886,915,492.02
  5. Step 5: Solve for x
    x = 10,886,915,492.02/119,649.80
  6. Step 6: Final answer
    x = 90,989.83

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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.