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Finding the Fourth Proportional to 194,678.31, 268,656.07 and 105,254.31

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Solution

The fourth proportional to 194,678.31, 268,656.07 and 105,254.31 is: 145,250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,678.31 : 268,656.07 = 105,254.31 : x
  2. Step 2: Convert to fraction form
    194,678.31/268,656.07 = 105,254.31/x
  3. Step 3: Cross multiply
    194,678.31x = 268,656.07 × 105,254.31
  4. Step 4: Simplify right side
    194,678.31x = 28,277,209,275.16
  5. Step 5: Solve for x
    x = 28,277,209,275.16/194,678.31
  6. Step 6: Final answer
    x = 145,250.95

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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.