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Finding the Fourth Proportional to 77,403.66, 106,817.91 and 43,419.30

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Solution

The fourth proportional to 77,403.66, 106,817.91 and 43,419.30 is: 59,919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,403.66 : 106,817.91 = 43,419.30 : x
  2. Step 2: Convert to fraction form
    77,403.66/106,817.91 = 43,419.30/x
  3. Step 3: Cross multiply
    77,403.66x = 106,817.91 × 43,419.30
  4. Step 4: Simplify right side
    77,403.66x = 4,637,958,879.66
  5. Step 5: Solve for x
    x = 4,637,958,879.66/77,403.66
  6. Step 6: Final answer
    x = 59,919.12

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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.