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Finding the Fourth Proportional to 105,561.98, 145,675.74 and 57,164.44

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Solution

The fourth proportional to 105,561.98, 145,675.74 and 57,164.44 is: 78,887.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,561.98 : 145,675.74 = 57,164.44 : x
  2. Step 2: Convert to fraction form
    105,561.98/145,675.74 = 57,164.44/x
  3. Step 3: Cross multiply
    105,561.98x = 145,675.74 × 57,164.44
  4. Step 4: Simplify right side
    105,561.98x = 8,327,472,098.69
  5. Step 5: Solve for x
    x = 8,327,472,098.69/105,561.98
  6. Step 6: Final answer
    x = 78,887.04

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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.