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Finding the Fourth Proportional to 70,128.48, 105,153.84 and 23,355.84

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Solution

The fourth proportional to 70,128.48, 105,153.84 and 23,355.84 is: 35,020.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,128.48 : 105,153.84 = 23,355.84 : x
  2. Step 2: Convert to fraction form
    70,128.48/105,153.84 = 23,355.84/x
  3. Step 3: Cross multiply
    70,128.48x = 105,153.84 × 23,355.84
  4. Step 4: Simplify right side
    70,128.48x = 2,455,956,262.43
  5. Step 5: Solve for x
    x = 2,455,956,262.43/70,128.48
  6. Step 6: Final answer
    x = 35,020.81

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Why These Related Problems?

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