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Finding the Fourth Proportional to 77,312.72, 106,906.32 and 61,369.52

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Solution

The fourth proportional to 77,312.72, 106,906.32 and 61,369.52 is: 84,860.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,312.72 : 106,906.32 = 61,369.52 : x
  2. Step 2: Convert to fraction form
    77,312.72/106,906.32 = 61,369.52/x
  3. Step 3: Cross multiply
    77,312.72x = 106,906.32 × 61,369.52
  4. Step 4: Simplify right side
    77,312.72x = 6,560,789,543.37
  5. Step 5: Solve for x
    x = 6,560,789,543.37/77,312.72
  6. Step 6: Final answer
    x = 84,860.42

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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.