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Finding the Fourth Proportional to 146,448, 219,672 and 35,640

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Solution

The fourth proportional to 146,448, 219,672 and 35,640 is: 53,460

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,448 : 219,672 = 35,640 : x
  2. Step 2: Convert to fraction form
    146,448/219,672 = 35,640/x
  3. Step 3: Cross multiply
    146,448x = 219,672 × 35,640
  4. Step 4: Simplify right side
    146,448x = 7,829,110,080
  5. Step 5: Solve for x
    x = 7,829,110,080/146,448
  6. Step 6: Final answer
    x = 53,460

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.