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Finding the Fourth Proportional to 195,148.50, 269,304.93 and 105,724.50

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Solution

The fourth proportional to 195,148.50, 269,304.93 and 105,724.50 is: 145,899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,148.50 : 269,304.93 = 105,724.50 : x
  2. Step 2: Convert to fraction form
    195,148.50/269,304.93 = 105,724.50/x
  3. Step 3: Cross multiply
    195,148.50x = 269,304.93 × 105,724.50
  4. Step 4: Simplify right side
    195,148.50x = 28,472,129,071.79
  5. Step 5: Solve for x
    x = 28,472,129,071.79/195,148.50
  6. Step 6: Final answer
    x = 145,899.81

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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.