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Finding the Fourth Proportional to 77,349.56, 106,542.74 and 54,649.15

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Solution

The fourth proportional to 77,349.56, 106,542.74 and 54,649.15 is: 75,274.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,349.56 : 106,542.74 = 54,649.15 : x
  2. Step 2: Convert to fraction form
    77,349.56/106,542.74 = 54,649.15/x
  3. Step 3: Cross multiply
    77,349.56x = 106,542.74 × 54,649.15
  4. Step 4: Simplify right side
    77,349.56x = 5,822,470,179.67
  5. Step 5: Solve for x
    x = 5,822,470,179.67/77,349.56
  6. Step 6: Final answer
    x = 75,274.77

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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.