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Finding the Fourth Proportional to 206,085.24, 308,703.24 and 99,153.36

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Solution

The fourth proportional to 206,085.24, 308,703.24 and 99,153.36 is: 148,525.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,085.24 : 308,703.24 = 99,153.36 : x
  2. Step 2: Convert to fraction form
    206,085.24/308,703.24 = 99,153.36/x
  3. Step 3: Cross multiply
    206,085.24x = 308,703.24 × 99,153.36
  4. Step 4: Simplify right side
    206,085.24x = 30,608,963,488.89
  5. Step 5: Solve for x
    x = 30,608,963,488.89/206,085.24
  6. Step 6: Final answer
    x = 148,525.74

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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.