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Finding the Fourth Proportional to 77,709.83, 107,239.41 and 43,718.36

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Solution

The fourth proportional to 77,709.83, 107,239.41 and 43,718.36 is: 60,331.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,709.83 : 107,239.41 = 43,718.36 : x
  2. Step 2: Convert to fraction form
    77,709.83/107,239.41 = 43,718.36/x
  3. Step 3: Cross multiply
    77,709.83x = 107,239.41 × 43,718.36
  4. Step 4: Simplify right side
    77,709.83x = 4,688,330,596.37
  5. Step 5: Solve for x
    x = 4,688,330,596.37/77,709.83
  6. Step 6: Final answer
    x = 60,331.25

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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.