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Finding the Fourth Proportional to 109,876.59, 164,814.89 and 39,739.50

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Solution

The fourth proportional to 109,876.59, 164,814.89 and 39,739.50 is: 59,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,876.59 : 164,814.89 = 39,739.50 : x
  2. Step 2: Convert to fraction form
    109,876.59/164,814.89 = 39,739.50/x
  3. Step 3: Cross multiply
    109,876.59x = 164,814.89 × 39,739.50
  4. Step 4: Simplify right side
    109,876.59x = 6,549,661,122.46
  5. Step 5: Solve for x
    x = 6,549,661,122.46/109,876.59
  6. Step 6: Final answer
    x = 59,609.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.