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Finding the Fourth Proportional to 101,596.48, 140,106.72 and 77,724.16

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Solution

The fourth proportional to 101,596.48, 140,106.72 and 77,724.16 is: 107,185.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,596.48 : 140,106.72 = 77,724.16 : x
  2. Step 2: Convert to fraction form
    101,596.48/140,106.72 = 77,724.16/x
  3. Step 3: Cross multiply
    101,596.48x = 140,106.72 × 77,724.16
  4. Step 4: Simplify right side
    101,596.48x = 10,889,677,122.36
  5. Step 5: Solve for x
    x = 10,889,677,122.36/101,596.48
  6. Step 6: Final answer
    x = 107,185.57

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1.5x scale

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.