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Finding the Fourth Proportional to 68,453.32, 102,695.10 and 21,068.68

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Solution

The fourth proportional to 68,453.32, 102,695.10 and 21,068.68 is: 31,607.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,453.32 : 102,695.10 = 21,068.68 : x
  2. Step 2: Convert to fraction form
    68,453.32/102,695.10 = 21,068.68/x
  3. Step 3: Cross multiply
    68,453.32x = 102,695.10 × 21,068.68
  4. Step 4: Simplify right side
    68,453.32x = 2,163,650,199.47
  5. Step 5: Solve for x
    x = 2,163,650,199.47/68,453.32
  6. Step 6: Final answer
    x = 31,607.67

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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.