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Finding the Fourth Proportional to 149,004, 205,673.76 and 95,433.36

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Solution

The fourth proportional to 149,004, 205,673.76 and 95,433.36 is: 131,728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,004 : 205,673.76 = 95,433.36 : x
  2. Step 2: Convert to fraction form
    149,004/205,673.76 = 95,433.36/x
  3. Step 3: Cross multiply
    149,004x = 205,673.76 × 95,433.36
  4. Step 4: Simplify right side
    149,004x = 19,628,137,980.63
  5. Step 5: Solve for x
    x = 19,628,137,980.63/149,004
  6. Step 6: Final answer
    x = 131,728.93

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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.