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Finding the Fourth Proportional to 259,223.25, 357,728.10 and 139,991.25

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Solution

The fourth proportional to 259,223.25, 357,728.10 and 139,991.25 is: 193,187.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,223.25 : 357,728.10 = 139,991.25 : x
  2. Step 2: Convert to fraction form
    259,223.25/357,728.10 = 139,991.25/x
  3. Step 3: Cross multiply
    259,223.25x = 357,728.10 × 139,991.25
  4. Step 4: Simplify right side
    259,223.25x = 50,078,803,879.13
  5. Step 5: Solve for x
    x = 50,078,803,879.13/259,223.25
  6. Step 6: Final answer
    x = 193,187.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.