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Finding the Fourth Proportional to 78,415.74, 117,623.63 and 28,486.54

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Solution

The fourth proportional to 78,415.74, 117,623.63 and 28,486.54 is: 42,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,415.74 : 117,623.63 = 28,486.54 : x
  2. Step 2: Convert to fraction form
    78,415.74/117,623.63 = 28,486.54/x
  3. Step 3: Cross multiply
    78,415.74x = 117,623.63 × 28,486.54
  4. Step 4: Simplify right side
    78,415.74x = 3,350,690,240.94
  5. Step 5: Solve for x
    x = 3,350,690,240.94/78,415.74
  6. Step 6: Final answer
    x = 42,729.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.