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Finding the Fourth Proportional to 30,116, 45,175.08 and 9,338.96

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Solution

The fourth proportional to 30,116, 45,175.08 and 9,338.96 is: 14,008.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,116 : 45,175.08 = 9,338.96 : x
  2. Step 2: Convert to fraction form
    30,116/45,175.08 = 9,338.96/x
  3. Step 3: Cross multiply
    30,116x = 45,175.08 × 9,338.96
  4. Step 4: Simplify right side
    30,116x = 421,888,265.12
  5. Step 5: Solve for x
    x = 421,888,265.12/30,116
  6. Step 6: Final answer
    x = 14,008.77

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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.