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Finding the Fourth Proportional to 53,542.87, 73,887.93 and 30,881.90

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Solution

The fourth proportional to 53,542.87, 73,887.93 and 30,881.90 is: 42,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,542.87 : 73,887.93 = 30,881.90 : x
  2. Step 2: Convert to fraction form
    53,542.87/73,887.93 = 30,881.90/x
  3. Step 3: Cross multiply
    53,542.87x = 73,887.93 × 30,881.90
  4. Step 4: Simplify right side
    53,542.87x = 2,281,799,850.19
  5. Step 5: Solve for x
    x = 2,281,799,850.19/53,542.87
  6. Step 6: Final answer
    x = 42,616.32

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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.