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Finding the Fourth Proportional to 57,970.48, 80,000.32 and 45,238

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Solution

The fourth proportional to 57,970.48, 80,000.32 and 45,238 is: 62,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,970.48 : 80,000.32 = 45,238 : x
  2. Step 2: Convert to fraction form
    57,970.48/80,000.32 = 45,238/x
  3. Step 3: Cross multiply
    57,970.48x = 80,000.32 × 45,238
  4. Step 4: Simplify right side
    57,970.48x = 3,619,054,476.16
  5. Step 5: Solve for x
    x = 3,619,054,476.16/57,970.48
  6. Step 6: Final answer
    x = 62,429.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.