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Finding the Fourth Proportional to 68,015.68, 102,006.24 and 26,440

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Solution

The fourth proportional to 68,015.68, 102,006.24 and 26,440 is: 39,653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,015.68 : 102,006.24 = 26,440 : x
  2. Step 2: Convert to fraction form
    68,015.68/102,006.24 = 26,440/x
  3. Step 3: Cross multiply
    68,015.68x = 102,006.24 × 26,440
  4. Step 4: Simplify right side
    68,015.68x = 2,697,044,985.60
  5. Step 5: Solve for x
    x = 2,697,044,985.60/68,015.68
  6. Step 6: Final answer
    x = 39,653.28

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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.