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Finding the Fourth Proportional to 57,188.49, 78,821.54 and 38,034.01

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Solution

The fourth proportional to 57,188.49, 78,821.54 and 38,034.01 is: 52,421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,188.49 : 78,821.54 = 38,034.01 : x
  2. Step 2: Convert to fraction form
    57,188.49/78,821.54 = 38,034.01/x
  3. Step 3: Cross multiply
    57,188.49x = 78,821.54 × 38,034.01
  4. Step 4: Simplify right side
    57,188.49x = 2,997,899,008.64
  5. Step 5: Solve for x
    x = 2,997,899,008.64/57,188.49
  6. Step 6: Final answer
    x = 52,421.37

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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.