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Finding the Fourth Proportional to 85,782.95, 118,377.69 and 47,020.67

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Solution

The fourth proportional to 85,782.95, 118,377.69 and 47,020.67 is: 64,887.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,782.95 : 118,377.69 = 47,020.67 : x
  2. Step 2: Convert to fraction form
    85,782.95/118,377.69 = 47,020.67/x
  3. Step 3: Cross multiply
    85,782.95x = 118,377.69 × 47,020.67
  4. Step 4: Simplify right side
    85,782.95x = 5,566,198,296.85
  5. Step 5: Solve for x
    x = 5,566,198,296.85/85,782.95
  6. Step 6: Final answer
    x = 64,887.00

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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.