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Finding the Fourth Proportional to 78,415.79, 108,189.94 and 44,418.87

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Solution

The fourth proportional to 78,415.79, 108,189.94 and 44,418.87 is: 61,284.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,415.79 : 108,189.94 = 44,418.87 : x
  2. Step 2: Convert to fraction form
    78,415.79/108,189.94 = 44,418.87/x
  3. Step 3: Cross multiply
    78,415.79x = 108,189.94 × 44,418.87
  4. Step 4: Simplify right side
    78,415.79x = 4,805,674,880.17
  5. Step 5: Solve for x
    x = 4,805,674,880.17/78,415.79
  6. Step 6: Final answer
    x = 61,284.53

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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.