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Finding the Fourth Proportional to 210,361.68, 290,298.72 and 134,910

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Solution

The fourth proportional to 210,361.68, 290,298.72 and 134,910 is: 186,175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,361.68 : 290,298.72 = 134,910 : x
  2. Step 2: Convert to fraction form
    210,361.68/290,298.72 = 134,910/x
  3. Step 3: Cross multiply
    210,361.68x = 290,298.72 × 134,910
  4. Step 4: Simplify right side
    210,361.68x = 39,164,200,315.20
  5. Step 5: Solve for x
    x = 39,164,200,315.20/210,361.68
  6. Step 6: Final answer
    x = 186,175.54

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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.