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Finding the Fourth Proportional to 77,719.80, 107,261.10 and 47,518.68

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Solution

The fourth proportional to 77,719.80, 107,261.10 and 47,518.68 is: 65,580.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,719.80 : 107,261.10 = 47,518.68 : x
  2. Step 2: Convert to fraction form
    77,719.80/107,261.10 = 47,518.68/x
  3. Step 3: Cross multiply
    77,719.80x = 107,261.10 × 47,518.68
  4. Step 4: Simplify right side
    77,719.80x = 5,096,905,887.35
  5. Step 5: Solve for x
    x = 5,096,905,887.35/77,719.80
  6. Step 6: Final answer
    x = 65,580.53

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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.