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Finding the Fourth Proportional to 159,037.56, 219,471.90 and 87,417

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Solution

The fourth proportional to 159,037.56, 219,471.90 and 87,417 is: 120,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,037.56 : 219,471.90 = 87,417 : x
  2. Step 2: Convert to fraction form
    159,037.56/219,471.90 = 87,417/x
  3. Step 3: Cross multiply
    159,037.56x = 219,471.90 × 87,417
  4. Step 4: Simplify right side
    159,037.56x = 19,185,575,082.30
  5. Step 5: Solve for x
    x = 19,185,575,082.30/159,037.56
  6. Step 6: Final answer
    x = 120,635.50

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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.