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Finding the Fourth Proportional to 85,355.68, 128,035.88 and 23,026

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Solution

The fourth proportional to 85,355.68, 128,035.88 and 23,026 is: 34,539.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,355.68 : 128,035.88 = 23,026 : x
  2. Step 2: Convert to fraction form
    85,355.68/128,035.88 = 23,026/x
  3. Step 3: Cross multiply
    85,355.68x = 128,035.88 × 23,026
  4. Step 4: Simplify right side
    85,355.68x = 2,948,154,172.88
  5. Step 5: Solve for x
    x = 2,948,154,172.88/85,355.68
  6. Step 6: Final answer
    x = 34,539.64

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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.