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Finding the Fourth Proportional to 78,676.36, 108,614.51 and 61,411.70

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Solution

The fourth proportional to 78,676.36, 108,614.51 and 61,411.70 is: 84,780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,676.36 : 108,614.51 = 61,411.70 : x
  2. Step 2: Convert to fraction form
    78,676.36/108,614.51 = 61,411.70/x
  3. Step 3: Cross multiply
    78,676.36x = 108,614.51 × 61,411.70
  4. Step 4: Simplify right side
    78,676.36x = 6,670,201,898.54
  5. Step 5: Solve for x
    x = 6,670,201,898.54/78,676.36
  6. Step 6: Final answer
    x = 84,780.26

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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.