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Finding the Fourth Proportional to 78,140.82, 117,201.50 and 25,545.90

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Solution

The fourth proportional to 78,140.82, 117,201.50 and 25,545.90 is: 38,315.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,140.82 : 117,201.50 = 25,545.90 : x
  2. Step 2: Convert to fraction form
    78,140.82/117,201.50 = 25,545.90/x
  3. Step 3: Cross multiply
    78,140.82x = 117,201.50 × 25,545.90
  4. Step 4: Simplify right side
    78,140.82x = 2,994,017,798.85
  5. Step 5: Solve for x
    x = 2,994,017,798.85/78,140.82
  6. Step 6: Final answer
    x = 38,315.67

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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.