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Finding the Fourth Proportional to 159,037.84, 219,469.69 and 87,416.32

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Solution

The fourth proportional to 159,037.84, 219,469.69 and 87,416.32 is: 120,633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,037.84 : 219,469.69 = 87,416.32 : x
  2. Step 2: Convert to fraction form
    159,037.84/219,469.69 = 87,416.32/x
  3. Step 3: Cross multiply
    159,037.84x = 219,469.69 × 87,416.32
  4. Step 4: Simplify right side
    159,037.84x = 19,185,232,651.34
  5. Step 5: Solve for x
    x = 19,185,232,651.34/159,037.84
  6. Step 6: Final answer
    x = 120,633.13

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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.