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Finding the Fourth Proportional to 210,272.94, 289,830.96 and 149,039.64

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Solution

The fourth proportional to 210,272.94, 289,830.96 and 149,039.64 is: 205,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,272.94 : 289,830.96 = 149,039.64 : x
  2. Step 2: Convert to fraction form
    210,272.94/289,830.96 = 149,039.64/x
  3. Step 3: Cross multiply
    210,272.94x = 289,830.96 × 149,039.64
  4. Step 4: Simplify right side
    210,272.94x = 43,196,301,939.25
  5. Step 5: Solve for x
    x = 43,196,301,939.25/210,272.94
  6. Step 6: Final answer
    x = 205,429.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.