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Finding the Fourth Proportional to 77,234.72, 106,528.94 and 70,881.82

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Solution

The fourth proportional to 77,234.72, 106,528.94 and 70,881.82 is: 97,766.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,234.72 : 106,528.94 = 70,881.82 : x
  2. Step 2: Convert to fraction form
    77,234.72/106,528.94 = 70,881.82/x
  3. Step 3: Cross multiply
    77,234.72x = 106,528.94 × 70,881.82
  4. Step 4: Simplify right side
    77,234.72x = 7,550,964,794.95
  5. Step 5: Solve for x
    x = 7,550,964,794.95/77,234.72
  6. Step 6: Final answer
    x = 97,766.46

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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.