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Finding the Fourth Proportional to 159,259.92, 219,788.46 and 87,655.74

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Solution

The fourth proportional to 159,259.92, 219,788.46 and 87,655.74 is: 120,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,259.92 : 219,788.46 = 87,655.74 : x
  2. Step 2: Convert to fraction form
    159,259.92/219,788.46 = 87,655.74/x
  3. Step 3: Cross multiply
    159,259.92x = 219,788.46 × 87,655.74
  4. Step 4: Simplify right side
    159,259.92x = 19,265,720,104.76
  5. Step 5: Solve for x
    x = 19,265,720,104.76/159,259.92
  6. Step 6: Final answer
    x = 120,970.30

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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.