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Finding the Fourth Proportional to 77,784.71, 107,309.21 and 47,571.30

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Solution

The fourth proportional to 77,784.71, 107,309.21 and 47,571.30 is: 65,627.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,784.71 : 107,309.21 = 47,571.30 : x
  2. Step 2: Convert to fraction form
    77,784.71/107,309.21 = 47,571.30/x
  3. Step 3: Cross multiply
    77,784.71x = 107,309.21 × 47,571.30
  4. Step 4: Simplify right side
    77,784.71x = 5,104,838,383.82
  5. Step 5: Solve for x
    x = 5,104,838,383.82/77,784.71
  6. Step 6: Final answer
    x = 65,627.79

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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.