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Finding the Fourth Proportional to 85,989.96, 128,970.56 and 22,814

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Solution

The fourth proportional to 85,989.96, 128,970.56 and 22,814 is: 34,217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,989.96 : 128,970.56 = 22,814 : x
  2. Step 2: Convert to fraction form
    85,989.96/128,970.56 = 22,814/x
  3. Step 3: Cross multiply
    85,989.96x = 128,970.56 × 22,814
  4. Step 4: Simplify right side
    85,989.96x = 2,942,334,355.84
  5. Step 5: Solve for x
    x = 2,942,334,355.84/85,989.96
  6. Step 6: Final answer
    x = 34,217.18

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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.