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Finding the Fourth Proportional to 212,646.68, 293,255.31 and 155,195.00

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Solution

The fourth proportional to 212,646.68, 293,255.31 and 155,195.00 is: 214,025.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,646.68 : 293,255.31 = 155,195.00 : x
  2. Step 2: Convert to fraction form
    212,646.68/293,255.31 = 155,195.00/x
  3. Step 3: Cross multiply
    212,646.68x = 293,255.31 × 155,195.00
  4. Step 4: Simplify right side
    212,646.68x = 45,511,756,886.90
  5. Step 5: Solve for x
    x = 45,511,756,886.90/212,646.68
  6. Step 6: Final answer
    x = 214,025.24

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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.