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Finding the Fourth Proportional to 106,454.63, 146,736 and 77,728.74

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Solution

The fourth proportional to 106,454.63, 146,736 and 77,728.74 is: 107,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,454.63 : 146,736 = 77,728.74 : x
  2. Step 2: Convert to fraction form
    106,454.63/146,736 = 77,728.74/x
  3. Step 3: Cross multiply
    106,454.63x = 146,736 × 77,728.74
  4. Step 4: Simplify right side
    106,454.63x = 11,405,604,392.64
  5. Step 5: Solve for x
    x = 11,405,604,392.64/106,454.63
  6. Step 6: Final answer
    x = 107,140.52

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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.