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Finding the Fourth Proportional to 77,644.98, 107,154 and 47,425.41

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Solution

The fourth proportional to 77,644.98, 107,154 and 47,425.41 is: 65,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,644.98 : 107,154 = 47,425.41 : x
  2. Step 2: Convert to fraction form
    77,644.98/107,154 = 47,425.41/x
  3. Step 3: Cross multiply
    77,644.98x = 107,154 × 47,425.41
  4. Step 4: Simplify right side
    77,644.98x = 5,081,822,383.14
  5. Step 5: Solve for x
    x = 5,081,822,383.14/77,644.98
  6. Step 6: Final answer
    x = 65,449.46

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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.