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Finding the Fourth Proportional to 120,037.64, 179,732.46 and 80,509.64

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Solution

The fourth proportional to 120,037.64, 179,732.46 and 80,509.64 is: 120,547.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,037.64 : 179,732.46 = 80,509.64 : x
  2. Step 2: Convert to fraction form
    120,037.64/179,732.46 = 80,509.64/x
  3. Step 3: Cross multiply
    120,037.64x = 179,732.46 × 80,509.64
  4. Step 4: Simplify right side
    120,037.64x = 14,470,195,650.91
  5. Step 5: Solve for x
    x = 14,470,195,650.91/120,037.64
  6. Step 6: Final answer
    x = 120,547.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.