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Finding the Fourth Proportional to 120,160.64, 165,816.44 and 65,711.84

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Solution

The fourth proportional to 120,160.64, 165,816.44 and 65,711.84 is: 90,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,160.64 : 165,816.44 = 65,711.84 : x
  2. Step 2: Convert to fraction form
    120,160.64/165,816.44 = 65,711.84/x
  3. Step 3: Cross multiply
    120,160.64x = 165,816.44 × 65,711.84
  4. Step 4: Simplify right side
    120,160.64x = 10,896,103,374.65
  5. Step 5: Solve for x
    x = 10,896,103,374.65/120,160.64
  6. Step 6: Final answer
    x = 90,679.47

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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.