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Finding the Fourth Proportional to 57,161.84, 78,918.36 and 45,273.20

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Solution

The fourth proportional to 57,161.84, 78,918.36 and 45,273.20 is: 62,504.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,161.84 : 78,918.36 = 45,273.20 : x
  2. Step 2: Convert to fraction form
    57,161.84/78,918.36 = 45,273.20/x
  3. Step 3: Cross multiply
    57,161.84x = 78,918.36 × 45,273.20
  4. Step 4: Simplify right side
    57,161.84x = 3,572,886,695.95
  5. Step 5: Solve for x
    x = 3,572,886,695.95/57,161.84
  6. Step 6: Final answer
    x = 62,504.75

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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.