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Finding the Fourth Proportional to 243,065.65, 364,634.94 and 85,266.31

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Solution

The fourth proportional to 243,065.65, 364,634.94 and 85,266.31 is: 127,912.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,065.65 : 364,634.94 = 85,266.31 : x
  2. Step 2: Convert to fraction form
    243,065.65/364,634.94 = 85,266.31/x
  3. Step 3: Cross multiply
    243,065.65x = 364,634.94 × 85,266.31
  4. Step 4: Simplify right side
    243,065.65x = 31,091,075,830.87
  5. Step 5: Solve for x
    x = 31,091,075,830.87/243,065.65
  6. Step 6: Final answer
    x = 127,912.26

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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.