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Finding the Fourth Proportional to 68,400, 102,631.60 and 28,966.24

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Solution

The fourth proportional to 68,400, 102,631.60 and 28,966.24 is: 43,462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,400 : 102,631.60 = 28,966.24 : x
  2. Step 2: Convert to fraction form
    68,400/102,631.60 = 28,966.24/x
  3. Step 3: Cross multiply
    68,400x = 102,631.60 × 28,966.24
  4. Step 4: Simplify right side
    68,400x = 2,972,851,557.18
  5. Step 5: Solve for x
    x = 2,972,851,557.18/68,400
  6. Step 6: Final answer
    x = 43,462.74

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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.