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Finding the Fourth Proportional to 159,029.56, 219,460.86 and 87,409

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Solution

The fourth proportional to 159,029.56, 219,460.86 and 87,409 is: 120,624.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,029.56 : 219,460.86 = 87,409 : x
  2. Step 2: Convert to fraction form
    159,029.56/219,460.86 = 87,409/x
  3. Step 3: Cross multiply
    159,029.56x = 219,460.86 × 87,409
  4. Step 4: Simplify right side
    159,029.56x = 19,182,854,311.74
  5. Step 5: Solve for x
    x = 19,182,854,311.74/159,029.56
  6. Step 6: Final answer
    x = 120,624.46

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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.