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Finding the Fourth Proportional to 77,851.56, 107,443.08 and 47,656.84

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Solution

The fourth proportional to 77,851.56, 107,443.08 and 47,656.84 is: 65,771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,851.56 : 107,443.08 = 47,656.84 : x
  2. Step 2: Convert to fraction form
    77,851.56/107,443.08 = 47,656.84/x
  3. Step 3: Cross multiply
    77,851.56x = 107,443.08 × 47,656.84
  4. Step 4: Simplify right side
    77,851.56x = 5,120,397,672.67
  5. Step 5: Solve for x
    x = 5,120,397,672.67/77,851.56
  6. Step 6: Final answer
    x = 65,771.29

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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.