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Finding the Fourth Proportional to 194,428, 268,310.64 and 105,004

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Solution

The fourth proportional to 194,428, 268,310.64 and 105,004 is: 144,905.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,428 : 268,310.64 = 105,004 : x
  2. Step 2: Convert to fraction form
    194,428/268,310.64 = 105,004/x
  3. Step 3: Cross multiply
    194,428x = 268,310.64 × 105,004
  4. Step 4: Simplify right side
    194,428x = 28,173,690,442.56
  5. Step 5: Solve for x
    x = 28,173,690,442.56/194,428
  6. Step 6: Final answer
    x = 144,905.52

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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.