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Finding the Fourth Proportional to 68,347.78, 102,546.29 and 23,981.45

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Solution

The fourth proportional to 68,347.78, 102,546.29 and 23,981.45 is: 35,980.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,347.78 : 102,546.29 = 23,981.45 : x
  2. Step 2: Convert to fraction form
    68,347.78/102,546.29 = 23,981.45/x
  3. Step 3: Cross multiply
    68,347.78x = 102,546.29 × 23,981.45
  4. Step 4: Simplify right side
    68,347.78x = 2,459,208,715.47
  5. Step 5: Solve for x
    x = 2,459,208,715.47/68,347.78
  6. Step 6: Final answer
    x = 35,980.81

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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.