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Finding the Fourth Proportional to 105,409.42, 158,137.45 and 49,218.91

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Solution

The fourth proportional to 105,409.42, 158,137.45 and 49,218.91 is: 73,839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,409.42 : 158,137.45 = 49,218.91 : x
  2. Step 2: Convert to fraction form
    105,409.42/158,137.45 = 49,218.91/x
  3. Step 3: Cross multiply
    105,409.42x = 158,137.45 × 49,218.91
  4. Step 4: Simplify right side
    105,409.42x = 7,783,352,400.79
  5. Step 5: Solve for x
    x = 7,783,352,400.79/105,409.42
  6. Step 6: Final answer
    x = 73,839.25

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1.5x scale

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.