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Finding the Fourth Proportional to 212,628.77, 319,068.74 and 77,680.85

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Solution

The fourth proportional to 212,628.77, 319,068.74 and 77,680.85 is: 116,567.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,628.77 : 319,068.74 = 77,680.85 : x
  2. Step 2: Convert to fraction form
    212,628.77/319,068.74 = 77,680.85/x
  3. Step 3: Cross multiply
    212,628.77x = 319,068.74 × 77,680.85
  4. Step 4: Simplify right side
    212,628.77x = 24,785,530,133.96
  5. Step 5: Solve for x
    x = 24,785,530,133.96/212,628.77
  6. Step 6: Final answer
    x = 116,567.15

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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.