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Finding the Fourth Proportional to 77,440, 106,850.72 and 45,597.28

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Solution

The fourth proportional to 77,440, 106,850.72 and 45,597.28 is: 62,914.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,440 : 106,850.72 = 45,597.28 : x
  2. Step 2: Convert to fraction form
    77,440/106,850.72 = 45,597.28/x
  3. Step 3: Cross multiply
    77,440x = 106,850.72 × 45,597.28
  4. Step 4: Simplify right side
    77,440x = 4,872,102,198.04
  5. Step 5: Solve for x
    x = 4,872,102,198.04/77,440
  6. Step 6: Final answer
    x = 62,914.54

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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.