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Finding the Fourth Proportional to 205,517, 308,275.50 and 57,773

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Solution

The fourth proportional to 205,517, 308,275.50 and 57,773 is: 86,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,517 : 308,275.50 = 57,773 : x
  2. Step 2: Convert to fraction form
    205,517/308,275.50 = 57,773/x
  3. Step 3: Cross multiply
    205,517x = 308,275.50 × 57,773
  4. Step 4: Simplify right side
    205,517x = 17,810,000,461.50
  5. Step 5: Solve for x
    x = 17,810,000,461.50/205,517
  6. Step 6: Final answer
    x = 86,659.50

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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.