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Finding the Fourth Proportional to 68,534.81, 102,802.21 and 45,155.78

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Solution

The fourth proportional to 68,534.81, 102,802.21 and 45,155.78 is: 67,733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,534.81 : 102,802.21 = 45,155.78 : x
  2. Step 2: Convert to fraction form
    68,534.81/102,802.21 = 45,155.78/x
  3. Step 3: Cross multiply
    68,534.81x = 102,802.21 × 45,155.78
  4. Step 4: Simplify right side
    68,534.81x = 4,642,113,990.88
  5. Step 5: Solve for x
    x = 4,642,113,990.88/68,534.81
  6. Step 6: Final answer
    x = 67,733.67

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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.