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Finding the Fourth Proportional to 160,130.64, 220,976.46 and 87,530.30

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Solution

The fourth proportional to 160,130.64, 220,976.46 and 87,530.30 is: 120,789.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,130.64 : 220,976.46 = 87,530.30 : x
  2. Step 2: Convert to fraction form
    160,130.64/220,976.46 = 87,530.30/x
  3. Step 3: Cross multiply
    160,130.64x = 220,976.46 × 87,530.30
  4. Step 4: Simplify right side
    160,130.64x = 19,342,135,836.74
  5. Step 5: Solve for x
    x = 19,342,135,836.74/160,130.64
  6. Step 6: Final answer
    x = 120,789.72

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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.