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Finding the Fourth Proportional to 139,666.88, 209,533.08 and 46,172

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Solution

The fourth proportional to 139,666.88, 209,533.08 and 46,172 is: 69,268.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,666.88 : 209,533.08 = 46,172 : x
  2. Step 2: Convert to fraction form
    139,666.88/209,533.08 = 46,172/x
  3. Step 3: Cross multiply
    139,666.88x = 209,533.08 × 46,172
  4. Step 4: Simplify right side
    139,666.88x = 9,674,561,369.76
  5. Step 5: Solve for x
    x = 9,674,561,369.76/139,666.88
  6. Step 6: Final answer
    x = 69,268.83

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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.