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Finding the Fourth Proportional to 148,810.88, 205,362.64 and 85,169.18

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Solution

The fourth proportional to 148,810.88, 205,362.64 and 85,169.18 is: 117,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,810.88 : 205,362.64 = 85,169.18 : x
  2. Step 2: Convert to fraction form
    148,810.88/205,362.64 = 85,169.18/x
  3. Step 3: Cross multiply
    148,810.88x = 205,362.64 × 85,169.18
  4. Step 4: Simplify right side
    148,810.88x = 17,490,567,651.44
  5. Step 5: Solve for x
    x = 17,490,567,651.44/148,810.88
  6. Step 6: Final answer
    x = 117,535.54

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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.