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Finding the Fourth Proportional to 106,705.30, 146,828.36 and 103,458.82

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Solution

The fourth proportional to 106,705.30, 146,828.36 and 103,458.82 is: 142,361.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,705.30 : 146,828.36 = 103,458.82 : x
  2. Step 2: Convert to fraction form
    106,705.30/146,828.36 = 103,458.82/x
  3. Step 3: Cross multiply
    106,705.30x = 146,828.36 × 103,458.82
  4. Step 4: Simplify right side
    106,705.30x = 15,190,688,868.14
  5. Step 5: Solve for x
    x = 15,190,688,868.14/106,705.30
  6. Step 6: Final answer
    x = 142,361.15

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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.