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Finding the Fourth Proportional to 205,366.10, 308,060.16 and 65,135.66

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Solution

The fourth proportional to 205,366.10, 308,060.16 and 65,135.66 is: 97,706.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,366.10 : 308,060.16 = 65,135.66 : x
  2. Step 2: Convert to fraction form
    205,366.10/308,060.16 = 65,135.66/x
  3. Step 3: Cross multiply
    205,366.10x = 308,060.16 × 65,135.66
  4. Step 4: Simplify right side
    205,366.10x = 20,065,701,841.31
  5. Step 5: Solve for x
    x = 20,065,701,841.31/205,366.10
  6. Step 6: Final answer
    x = 97,706.98

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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.