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Finding the Fourth Proportional to 323,677, 485,515.50 and 102,061

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Solution

The fourth proportional to 323,677, 485,515.50 and 102,061 is: 153,091.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,677 : 485,515.50 = 102,061 : x
  2. Step 2: Convert to fraction form
    323,677/485,515.50 = 102,061/x
  3. Step 3: Cross multiply
    323,677x = 485,515.50 × 102,061
  4. Step 4: Simplify right side
    323,677x = 49,552,197,445.50
  5. Step 5: Solve for x
    x = 49,552,197,445.50/323,677
  6. Step 6: Final answer
    x = 153,091.50

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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.