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Finding the Fourth Proportional to 209,992.60, 314,990.16 and 52,221.06

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Solution

The fourth proportional to 209,992.60, 314,990.16 and 52,221.06 is: 78,331.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,992.60 : 314,990.16 = 52,221.06 : x
  2. Step 2: Convert to fraction form
    209,992.60/314,990.16 = 52,221.06/x
  3. Step 3: Cross multiply
    209,992.60x = 314,990.16 × 52,221.06
  4. Step 4: Simplify right side
    209,992.60x = 16,449,120,044.77
  5. Step 5: Solve for x
    x = 16,449,120,044.77/209,992.60
  6. Step 6: Final answer
    x = 78,331.90

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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.