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Finding the Fourth Proportional to 259,585.25, 389,420 and 101,728.13

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Solution

The fourth proportional to 259,585.25, 389,420 and 101,728.13 is: 152,608.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,585.25 : 389,420 = 101,728.13 : x
  2. Step 2: Convert to fraction form
    259,585.25/389,420 = 101,728.13/x
  3. Step 3: Cross multiply
    259,585.25x = 389,420 × 101,728.13
  4. Step 4: Simplify right side
    259,585.25x = 39,614,968,384.60
  5. Step 5: Solve for x
    x = 39,614,968,384.60/259,585.25
  6. Step 6: Final answer
    x = 152,608.70

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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.