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Finding the Fourth Proportional to 68,053.50, 102,080.25 and 21,307.59

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Solution

The fourth proportional to 68,053.50, 102,080.25 and 21,307.59 is: 31,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,053.50 : 102,080.25 = 21,307.59 : x
  2. Step 2: Convert to fraction form
    68,053.50/102,080.25 = 21,307.59/x
  3. Step 3: Cross multiply
    68,053.50x = 102,080.25 × 21,307.59
  4. Step 4: Simplify right side
    68,053.50x = 2,175,084,114.10
  5. Step 5: Solve for x
    x = 2,175,084,114.10/68,053.50
  6. Step 6: Final answer
    x = 31,961.39

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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.