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Finding the Fourth Proportional to 77,912.84, 107,495.80 and 47,666.63

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Solution

The fourth proportional to 77,912.84, 107,495.80 and 47,666.63 is: 65,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,912.84 : 107,495.80 = 47,666.63 : x
  2. Step 2: Convert to fraction form
    77,912.84/107,495.80 = 47,666.63/x
  3. Step 3: Cross multiply
    77,912.84x = 107,495.80 × 47,666.63
  4. Step 4: Simplify right side
    77,912.84x = 5,123,962,286.82
  5. Step 5: Solve for x
    x = 5,123,962,286.82/77,912.84
  6. Step 6: Final answer
    x = 65,765.31

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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.