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Finding the Fourth Proportional to 77,400.91, 106,814.43 and 43,416.94

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Solution

The fourth proportional to 77,400.91, 106,814.43 and 43,416.94 is: 59,916.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,400.91 : 106,814.43 = 43,416.94 : x
  2. Step 2: Convert to fraction form
    77,400.91/106,814.43 = 43,416.94/x
  3. Step 3: Cross multiply
    77,400.91x = 106,814.43 × 43,416.94
  4. Step 4: Simplify right side
    77,400.91x = 4,637,555,698.44
  5. Step 5: Solve for x
    x = 4,637,555,698.44/77,400.91
  6. Step 6: Final answer
    x = 59,916.04

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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.