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Finding the Fourth Proportional to 105,542.88, 145,642.50 and 57,796.80

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Solution

The fourth proportional to 105,542.88, 145,642.50 and 57,796.80 is: 79,755.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,542.88 : 145,642.50 = 57,796.80 : x
  2. Step 2: Convert to fraction form
    105,542.88/145,642.50 = 57,796.80/x
  3. Step 3: Cross multiply
    105,542.88x = 145,642.50 × 57,796.80
  4. Step 4: Simplify right side
    105,542.88x = 8,417,670,444
  5. Step 5: Solve for x
    x = 8,417,670,444/105,542.88
  6. Step 6: Final answer
    x = 79,755.93

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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.