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Finding the Fourth Proportional to 208,775.12, 313,009.31 and 66,538.54

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Solution

The fourth proportional to 208,775.12, 313,009.31 and 66,538.54 is: 99,758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,775.12 : 313,009.31 = 66,538.54 : x
  2. Step 2: Convert to fraction form
    208,775.12/313,009.31 = 66,538.54/x
  3. Step 3: Cross multiply
    208,775.12x = 313,009.31 × 66,538.54
  4. Step 4: Simplify right side
    208,775.12x = 20,827,183,051.42
  5. Step 5: Solve for x
    x = 20,827,183,051.42/208,775.12
  6. Step 6: Final answer
    x = 99,758.93

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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.