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Finding the Fourth Proportional to 208,793, 288,140.74 and 122,736.20

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Solution

The fourth proportional to 208,793, 288,140.74 and 122,736.20 is: 169,379.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,793 : 288,140.74 = 122,736.20 : x
  2. Step 2: Convert to fraction form
    208,793/288,140.74 = 122,736.20/x
  3. Step 3: Cross multiply
    208,793x = 288,140.74 × 122,736.20
  4. Step 4: Simplify right side
    208,793x = 35,365,299,492.79
  5. Step 5: Solve for x
    x = 35,365,299,492.79/208,793
  6. Step 6: Final answer
    x = 169,379.72

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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.