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Finding the Fourth Proportional to 68,066.98, 102,100.47 and 21,323.50

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Solution

The fourth proportional to 68,066.98, 102,100.47 and 21,323.50 is: 31,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,066.98 : 102,100.47 = 21,323.50 : x
  2. Step 2: Convert to fraction form
    68,066.98/102,100.47 = 21,323.50/x
  3. Step 3: Cross multiply
    68,066.98x = 102,100.47 × 21,323.50
  4. Step 4: Simplify right side
    68,066.98x = 2,177,139,372.05
  5. Step 5: Solve for x
    x = 2,177,139,372.05/68,066.98
  6. Step 6: Final answer
    x = 31,985.25

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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.