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Finding the Fourth Proportional to 211,503.89, 317,239.02 and 85,055.00

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Solution

The fourth proportional to 211,503.89, 317,239.02 and 85,055.00 is: 127,575.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,503.89 : 317,239.02 = 85,055.00 : x
  2. Step 2: Convert to fraction form
    211,503.89/317,239.02 = 85,055.00/x
  3. Step 3: Cross multiply
    211,503.89x = 317,239.02 × 85,055.00
  4. Step 4: Simplify right side
    211,503.89x = 26,982,763,259.90
  5. Step 5: Solve for x
    x = 26,982,763,259.90/211,503.89
  6. Step 6: Final answer
    x = 127,575.73

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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.