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Finding the Fourth Proportional to 159,029.46, 219,461.13 and 87,416.82

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Solution

The fourth proportional to 159,029.46, 219,461.13 and 87,416.82 is: 120,635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,029.46 : 219,461.13 = 87,416.82 : x
  2. Step 2: Convert to fraction form
    159,029.46/219,461.13 = 87,416.82/x
  3. Step 3: Cross multiply
    159,029.46x = 219,461.13 × 87,416.82
  4. Step 4: Simplify right side
    159,029.46x = 19,184,594,098.21
  5. Step 5: Solve for x
    x = 19,184,594,098.21/159,029.46
  6. Step 6: Final answer
    x = 120,635.47

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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.