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Finding the Fourth Proportional to 194,724, 268,719.93 and 105,300

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Solution

The fourth proportional to 194,724, 268,719.93 and 105,300 is: 145,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,724 : 268,719.93 = 105,300 : x
  2. Step 2: Convert to fraction form
    194,724/268,719.93 = 105,300/x
  3. Step 3: Cross multiply
    194,724x = 268,719.93 × 105,300
  4. Step 4: Simplify right side
    194,724x = 28,296,208,629
  5. Step 5: Solve for x
    x = 28,296,208,629/194,724
  6. Step 6: Final answer
    x = 145,314.44

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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.