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Finding the Fourth Proportional to 68,283, 94,243.50 and 38,475

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Solution

The fourth proportional to 68,283, 94,243.50 and 38,475 is: 53,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,283 : 94,243.50 = 38,475 : x
  2. Step 2: Convert to fraction form
    68,283/94,243.50 = 38,475/x
  3. Step 3: Cross multiply
    68,283x = 94,243.50 × 38,475
  4. Step 4: Simplify right side
    68,283x = 3,626,018,662.50
  5. Step 5: Solve for x
    x = 3,626,018,662.50/68,283
  6. Step 6: Final answer
    x = 53,102.80

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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.