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Finding the Fourth Proportional to 45,232, 67,851.84 and 12,400

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Solution

The fourth proportional to 45,232, 67,851.84 and 12,400 is: 18,601.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,232 : 67,851.84 = 12,400 : x
  2. Step 2: Convert to fraction form
    45,232/67,851.84 = 12,400/x
  3. Step 3: Cross multiply
    45,232x = 67,851.84 × 12,400
  4. Step 4: Simplify right side
    45,232x = 841,362,816
  5. Step 5: Solve for x
    x = 841,362,816/45,232
  6. Step 6: Final answer
    x = 18,601.05

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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.