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Finding the Fourth Proportional to 111,154.78, 166,681.72 and 47,945.02

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Solution

The fourth proportional to 111,154.78, 166,681.72 and 47,945.02 is: 71,895.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,154.78 : 166,681.72 = 47,945.02 : x
  2. Step 2: Convert to fraction form
    111,154.78/166,681.72 = 47,945.02/x
  3. Step 3: Cross multiply
    111,154.78x = 166,681.72 × 47,945.02
  4. Step 4: Simplify right side
    111,154.78x = 7,991,558,399.03
  5. Step 5: Solve for x
    x = 7,991,558,399.03/111,154.78
  6. Step 6: Final answer
    x = 71,895.77

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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.