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Finding the Fourth Proportional to 89,985, 134,977.50 and 24,321

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Solution

The fourth proportional to 89,985, 134,977.50 and 24,321 is: 36,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,985 : 134,977.50 = 24,321 : x
  2. Step 2: Convert to fraction form
    89,985/134,977.50 = 24,321/x
  3. Step 3: Cross multiply
    89,985x = 134,977.50 × 24,321
  4. Step 4: Simplify right side
    89,985x = 3,282,787,777.50
  5. Step 5: Solve for x
    x = 3,282,787,777.50/89,985
  6. Step 6: Final answer
    x = 36,481.50

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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.