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Finding the Fourth Proportional to 66,868.76, 100,302.10 and 16,268.28

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Solution

The fourth proportional to 66,868.76, 100,302.10 and 16,268.28 is: 24,402.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,868.76 : 100,302.10 = 16,268.28 : x
  2. Step 2: Convert to fraction form
    66,868.76/100,302.10 = 16,268.28/x
  3. Step 3: Cross multiply
    66,868.76x = 100,302.10 × 16,268.28
  4. Step 4: Simplify right side
    66,868.76x = 1,631,742,647.39
  5. Step 5: Solve for x
    x = 1,631,742,647.39/66,868.76
  6. Step 6: Final answer
    x = 24,402.17

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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.