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Finding the Fourth Proportional to 72,558.72, 100,178.88 and 45,713.28

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Solution

The fourth proportional to 72,558.72, 100,178.88 and 45,713.28 is: 63,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,558.72 : 100,178.88 = 45,713.28 : x
  2. Step 2: Convert to fraction form
    72,558.72/100,178.88 = 45,713.28/x
  3. Step 3: Cross multiply
    72,558.72x = 100,178.88 × 45,713.28
  4. Step 4: Simplify right side
    72,558.72x = 4,579,505,191.53
  5. Step 5: Solve for x
    x = 4,579,505,191.53/72,558.72
  6. Step 6: Final answer
    x = 63,114.47

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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.