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Finding the Fourth Proportional to 57,528.16, 86,233.80 and 43,648

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Solution

The fourth proportional to 57,528.16, 86,233.80 and 43,648 is: 65,427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,528.16 : 86,233.80 = 43,648 : x
  2. Step 2: Convert to fraction form
    57,528.16/86,233.80 = 43,648/x
  3. Step 3: Cross multiply
    57,528.16x = 86,233.80 × 43,648
  4. Step 4: Simplify right side
    57,528.16x = 3,763,932,902.40
  5. Step 5: Solve for x
    x = 3,763,932,902.40/57,528.16
  6. Step 6: Final answer
    x = 65,427.66

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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.