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Finding the Fourth Proportional to 78,177.94, 117,265.95 and 19,013.67

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Solution

The fourth proportional to 78,177.94, 117,265.95 and 19,013.67 is: 28,520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,177.94 : 117,265.95 = 19,013.67 : x
  2. Step 2: Convert to fraction form
    78,177.94/117,265.95 = 19,013.67/x
  3. Step 3: Cross multiply
    78,177.94x = 117,265.95 × 19,013.67
  4. Step 4: Simplify right side
    78,177.94x = 2,229,656,075.54
  5. Step 5: Solve for x
    x = 2,229,656,075.54/78,177.94
  6. Step 6: Final answer
    x = 28,520.27

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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.