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Finding the Fourth Proportional to 211,365.84, 317,186.20 and 91,539.80

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Solution

The fourth proportional to 211,365.84, 317,186.20 and 91,539.80 is: 137,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,365.84 : 317,186.20 = 91,539.80 : x
  2. Step 2: Convert to fraction form
    211,365.84/317,186.20 = 91,539.80/x
  3. Step 3: Cross multiply
    211,365.84x = 317,186.20 × 91,539.80
  4. Step 4: Simplify right side
    211,365.84x = 29,035,159,724.83
  5. Step 5: Solve for x
    x = 29,035,159,724.83/211,365.84
  6. Step 6: Final answer
    x = 137,369.22

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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.