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Finding the Fourth Proportional to 54,365.75, 75,024.87 and 31,720.31

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Solution

The fourth proportional to 54,365.75, 75,024.87 and 31,720.31 is: 43,774.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,365.75 : 75,024.87 = 31,720.31 : x
  2. Step 2: Convert to fraction form
    54,365.75/75,024.87 = 31,720.31/x
  3. Step 3: Cross multiply
    54,365.75x = 75,024.87 × 31,720.31
  4. Step 4: Simplify right side
    54,365.75x = 2,379,812,134.11
  5. Step 5: Solve for x
    x = 2,379,812,134.11/54,365.75
  6. Step 6: Final answer
    x = 43,774.11

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1.5x scale

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.