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Finding the Fourth Proportional to 205,314.84, 308,165.94 and 105,544.98

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Solution

The fourth proportional to 205,314.84, 308,165.94 and 105,544.98 is: 158,417.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,314.84 : 308,165.94 = 105,544.98 : x
  2. Step 2: Convert to fraction form
    205,314.84/308,165.94 = 105,544.98/x
  3. Step 3: Cross multiply
    205,314.84x = 308,165.94 × 105,544.98
  4. Step 4: Simplify right side
    205,314.84x = 32,525,367,973.98
  5. Step 5: Solve for x
    x = 32,525,367,973.98/205,314.84
  6. Step 6: Final answer
    x = 158,417.03

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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.