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Finding the Fourth Proportional to 77,356, 106,751.28 and 43,822

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Solution

The fourth proportional to 77,356, 106,751.28 and 43,822 is: 60,474.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,356 : 106,751.28 = 43,822 : x
  2. Step 2: Convert to fraction form
    77,356/106,751.28 = 43,822/x
  3. Step 3: Cross multiply
    77,356x = 106,751.28 × 43,822
  4. Step 4: Simplify right side
    77,356x = 4,678,054,592.16
  5. Step 5: Solve for x
    x = 4,678,054,592.16/77,356
  6. Step 6: Final answer
    x = 60,474.36

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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.