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Finding the Fourth Proportional to 77,145.71, 106,469.90 and 43,162.80

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Solution

The fourth proportional to 77,145.71, 106,469.90 and 43,162.80 is: 59,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,145.71 : 106,469.90 = 43,162.80 : x
  2. Step 2: Convert to fraction form
    77,145.71/106,469.90 = 43,162.80/x
  3. Step 3: Cross multiply
    77,145.71x = 106,469.90 × 43,162.80
  4. Step 4: Simplify right side
    77,145.71x = 4,595,538,783.91
  5. Step 5: Solve for x
    x = 4,595,538,783.91/77,145.71
  6. Step 6: Final answer
    x = 59,569.60

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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.