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Finding the Fourth Proportional to 106,555.52, 146,982.74 and 77,840.06

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Solution

The fourth proportional to 106,555.52, 146,982.74 and 77,840.06 is: 107,372.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,555.52 : 146,982.74 = 77,840.06 : x
  2. Step 2: Convert to fraction form
    106,555.52/146,982.74 = 77,840.06/x
  3. Step 3: Cross multiply
    106,555.52x = 146,982.74 × 77,840.06
  4. Step 4: Simplify right side
    106,555.52x = 11,441,144,176.45
  5. Step 5: Solve for x
    x = 11,441,144,176.45/106,555.52
  6. Step 6: Final answer
    x = 107,372.61

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1.5x scale

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.