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Finding the Fourth Proportional to 192,360.51, 288,573.80 and 85,782.33

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Solution

The fourth proportional to 192,360.51, 288,573.80 and 85,782.33 is: 128,688.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,360.51 : 288,573.80 = 85,782.33 : x
  2. Step 2: Convert to fraction form
    192,360.51/288,573.80 = 85,782.33/x
  3. Step 3: Cross multiply
    192,360.51x = 288,573.80 × 85,782.33
  4. Step 4: Simplify right side
    192,360.51x = 24,754,532,940.95
  5. Step 5: Solve for x
    x = 24,754,532,940.95/192,360.51
  6. Step 6: Final answer
    x = 128,688.23

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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.