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Finding the Fourth Proportional to 253,570.64, 349,926.26 and 137,284.18

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Solution

The fourth proportional to 253,570.64, 349,926.26 and 137,284.18 is: 189,451.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,570.64 : 349,926.26 = 137,284.18 : x
  2. Step 2: Convert to fraction form
    253,570.64/349,926.26 = 137,284.18/x
  3. Step 3: Cross multiply
    253,570.64x = 349,926.26 × 137,284.18
  4. Step 4: Simplify right side
    253,570.64x = 48,039,339,664.57
  5. Step 5: Solve for x
    x = 48,039,339,664.57/253,570.64
  6. Step 6: Final answer
    x = 189,451.51

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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.