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Finding the Fourth Proportional to 190,407.49, 285,782.55 and 101,736.79

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Solution

The fourth proportional to 190,407.49, 285,782.55 and 101,736.79 is: 152,696.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,407.49 : 285,782.55 = 101,736.79 : x
  2. Step 2: Convert to fraction form
    190,407.49/285,782.55 = 101,736.79/x
  3. Step 3: Cross multiply
    190,407.49x = 285,782.55 × 101,736.79
  4. Step 4: Simplify right side
    190,407.49x = 29,074,599,275.01
  5. Step 5: Solve for x
    x = 29,074,599,275.01/190,407.49
  6. Step 6: Final answer
    x = 152,696.72

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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.