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Finding the Fourth Proportional to 72,239.94, 99,700.56 and 40,415.40

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Solution

The fourth proportional to 72,239.94, 99,700.56 and 40,415.40 is: 55,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,239.94 : 99,700.56 = 40,415.40 : x
  2. Step 2: Convert to fraction form
    72,239.94/99,700.56 = 40,415.40/x
  3. Step 3: Cross multiply
    72,239.94x = 99,700.56 × 40,415.40
  4. Step 4: Simplify right side
    72,239.94x = 4,029,438,012.62
  5. Step 5: Solve for x
    x = 4,029,438,012.62/72,239.94
  6. Step 6: Final answer
    x = 55,778.53

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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.