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Finding the Fourth Proportional to 68,242, 102,293.74 and 26,111.26

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Solution

The fourth proportional to 68,242, 102,293.74 and 26,111.26 is: 39,140.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,242 : 102,293.74 = 26,111.26 : x
  2. Step 2: Convert to fraction form
    68,242/102,293.74 = 26,111.26/x
  3. Step 3: Cross multiply
    68,242x = 102,293.74 × 26,111.26
  4. Step 4: Simplify right side
    68,242x = 2,671,018,441.51
  5. Step 5: Solve for x
    x = 2,671,018,441.51/68,242
  6. Step 6: Final answer
    x = 39,140.39

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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.