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Finding the Fourth Proportional to 209,883.52, 314,832.96 and 85,221.76

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Solution

The fourth proportional to 209,883.52, 314,832.96 and 85,221.76 is: 127,835.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,883.52 : 314,832.96 = 85,221.76 : x
  2. Step 2: Convert to fraction form
    209,883.52/314,832.96 = 85,221.76/x
  3. Step 3: Cross multiply
    209,883.52x = 314,832.96 × 85,221.76
  4. Step 4: Simplify right side
    209,883.52x = 26,830,618,957.21
  5. Step 5: Solve for x
    x = 26,830,618,957.21/209,883.52
  6. Step 6: Final answer
    x = 127,835.76

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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.