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Finding the Fourth Proportional to 265,188.87, 397,783.31 and 78,156.63

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Solution

The fourth proportional to 265,188.87, 397,783.31 and 78,156.63 is: 117,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,188.87 : 397,783.31 = 78,156.63 : x
  2. Step 2: Convert to fraction form
    265,188.87/397,783.31 = 78,156.63/x
  3. Step 3: Cross multiply
    265,188.87x = 397,783.31 × 78,156.63
  4. Step 4: Simplify right side
    265,188.87x = 31,089,402,589.06
  5. Step 5: Solve for x
    x = 31,089,402,589.06/265,188.87
  6. Step 6: Final answer
    x = 117,234.95

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1.5x scale

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.