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Finding the Fourth Proportional to 211,463.74, 317,164.74 and 61,663.78

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Solution

The fourth proportional to 211,463.74, 317,164.74 and 61,663.78 is: 92,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,463.74 : 317,164.74 = 61,663.78 : x
  2. Step 2: Convert to fraction form
    211,463.74/317,164.74 = 61,663.78/x
  3. Step 3: Cross multiply
    211,463.74x = 317,164.74 × 61,663.78
  4. Step 4: Simplify right side
    211,463.74x = 19,557,576,751.12
  5. Step 5: Solve for x
    x = 19,557,576,751.12/211,463.74
  6. Step 6: Final answer
    x = 92,486.67

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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.