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Finding the Fourth Proportional to 77,564.34, 107,035.92 and 47,400.12

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Solution

The fourth proportional to 77,564.34, 107,035.92 and 47,400.12 is: 65,410.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,564.34 : 107,035.92 = 47,400.12 : x
  2. Step 2: Convert to fraction form
    77,564.34/107,035.92 = 47,400.12/x
  3. Step 3: Cross multiply
    77,564.34x = 107,035.92 × 47,400.12
  4. Step 4: Simplify right side
    77,564.34x = 5,073,515,452.31
  5. Step 5: Solve for x
    x = 5,073,515,452.31/77,564.34
  6. Step 6: Final answer
    x = 65,410.41

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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.