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Finding the Fourth Proportional to 159,085.86, 219,539.21 and 86,489.46

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Solution

The fourth proportional to 159,085.86, 219,539.21 and 86,489.46 is: 119,355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,085.86 : 219,539.21 = 86,489.46 : x
  2. Step 2: Convert to fraction form
    159,085.86/219,539.21 = 86,489.46/x
  3. Step 3: Cross multiply
    159,085.86x = 219,539.21 × 86,489.46
  4. Step 4: Simplify right side
    159,085.86x = 18,987,827,721.73
  5. Step 5: Solve for x
    x = 18,987,827,721.73/159,085.86
  6. Step 6: Final answer
    x = 119,355.85

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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.