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Finding the Fourth Proportional to 68,094.76, 102,142.14 and 21,351.40

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Solution

The fourth proportional to 68,094.76, 102,142.14 and 21,351.40 is: 32,027.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,094.76 : 102,142.14 = 21,351.40 : x
  2. Step 2: Convert to fraction form
    68,094.76/102,142.14 = 21,351.40/x
  3. Step 3: Cross multiply
    68,094.76x = 102,142.14 × 21,351.40
  4. Step 4: Simplify right side
    68,094.76x = 2,180,877,688.00
  5. Step 5: Solve for x
    x = 2,180,877,688.00/68,094.76
  6. Step 6: Final answer
    x = 32,027.10

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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.