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Finding the Fourth Proportional to 77,676.80, 116,434.40 and 52,718.87

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Solution

The fourth proportional to 77,676.80, 116,434.40 and 52,718.87 is: 79,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,676.80 : 116,434.40 = 52,718.87 : x
  2. Step 2: Convert to fraction form
    77,676.80/116,434.40 = 52,718.87/x
  3. Step 3: Cross multiply
    77,676.80x = 116,434.40 × 52,718.87
  4. Step 4: Simplify right side
    77,676.80x = 6,138,290,024.62
  5. Step 5: Solve for x
    x = 6,138,290,024.62/77,676.80
  6. Step 6: Final answer
    x = 79,023.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.