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Finding the Fourth Proportional to 77,316.50, 106,696.77 and 43,788.98

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Solution

The fourth proportional to 77,316.50, 106,696.77 and 43,788.98 is: 60,428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,316.50 : 106,696.77 = 43,788.98 : x
  2. Step 2: Convert to fraction form
    77,316.50/106,696.77 = 43,788.98/x
  3. Step 3: Cross multiply
    77,316.50x = 106,696.77 × 43,788.98
  4. Step 4: Simplify right side
    77,316.50x = 4,672,142,727.59
  5. Step 5: Solve for x
    x = 4,672,142,727.59/77,316.50
  6. Step 6: Final answer
    x = 60,428.79

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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.