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Finding the Fourth Proportional to 149,047.02, 205,684.74 and 85,385.07

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Solution

The fourth proportional to 149,047.02, 205,684.74 and 85,385.07 is: 117,831.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,047.02 : 205,684.74 = 85,385.07 : x
  2. Step 2: Convert to fraction form
    149,047.02/205,684.74 = 85,385.07/x
  3. Step 3: Cross multiply
    149,047.02x = 205,684.74 × 85,385.07
  4. Step 4: Simplify right side
    149,047.02x = 17,562,405,922.83
  5. Step 5: Solve for x
    x = 17,562,405,922.83/149,047.02
  6. Step 6: Final answer
    x = 117,831.31

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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.