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Finding the Fourth Proportional to 171,995.70, 257,907.15 and 78,395.70

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Solution

The fourth proportional to 171,995.70, 257,907.15 and 78,395.70 is: 117,554.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,995.70 : 257,907.15 = 78,395.70 : x
  2. Step 2: Convert to fraction form
    171,995.70/257,907.15 = 78,395.70/x
  3. Step 3: Cross multiply
    171,995.70x = 257,907.15 × 78,395.70
  4. Step 4: Simplify right side
    171,995.70x = 20,218,811,559.26
  5. Step 5: Solve for x
    x = 20,218,811,559.26/171,995.70
  6. Step 6: Final answer
    x = 117,554.17

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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.