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Finding the Fourth Proportional to 214,547.27, 321,599.43 and 139,813.43

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Solution

The fourth proportional to 214,547.27, 321,599.43 and 139,813.43 is: 209,575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,547.27 : 321,599.43 = 139,813.43 : x
  2. Step 2: Convert to fraction form
    214,547.27/321,599.43 = 139,813.43/x
  3. Step 3: Cross multiply
    214,547.27x = 321,599.43 × 139,813.43
  4. Step 4: Simplify right side
    214,547.27x = 44,963,917,786.35
  5. Step 5: Solve for x
    x = 44,963,917,786.35/214,547.27
  6. Step 6: Final answer
    x = 209,575.81

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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.