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Finding the Fourth Proportional to 119,539.60, 164,879.75 and 78,654.24

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Solution

The fourth proportional to 119,539.60, 164,879.75 and 78,654.24 is: 108,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,539.60 : 164,879.75 = 78,654.24 : x
  2. Step 2: Convert to fraction form
    119,539.60/164,879.75 = 78,654.24/x
  3. Step 3: Cross multiply
    119,539.60x = 164,879.75 × 78,654.24
  4. Step 4: Simplify right side
    119,539.60x = 12,968,491,624.28
  5. Step 5: Solve for x
    x = 12,968,491,624.28/119,539.60
  6. Step 6: Final answer
    x = 108,486.99

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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.