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Finding the Fourth Proportional to 128,053.29, 191,922.59 and 90,624

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Solution

The fourth proportional to 128,053.29, 191,922.59 and 90,624 is: 135,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,053.29 : 191,922.59 = 90,624 : x
  2. Step 2: Convert to fraction form
    128,053.29/191,922.59 = 90,624/x
  3. Step 3: Cross multiply
    128,053.29x = 191,922.59 × 90,624
  4. Step 4: Simplify right side
    128,053.29x = 17,392,792,343.04
  5. Step 5: Solve for x
    x = 17,392,792,343.04/128,053.29
  6. Step 6: Final answer
    x = 135,824.64

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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.