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Finding the Fourth Proportional to 77,642.56, 107,116.32 and 47,782.72

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Solution

The fourth proportional to 77,642.56, 107,116.32 and 47,782.72 is: 65,921.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,642.56 : 107,116.32 = 47,782.72 : x
  2. Step 2: Convert to fraction form
    77,642.56/107,116.32 = 47,782.72/x
  3. Step 3: Cross multiply
    77,642.56x = 107,116.32 × 47,782.72
  4. Step 4: Simplify right side
    77,642.56x = 5,118,309,125.99
  5. Step 5: Solve for x
    x = 5,118,309,125.99/77,642.56
  6. Step 6: Final answer
    x = 65,921.44

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1.5x scale

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.