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Finding the Fourth Proportional to 170,022, 255,038.40 and 51,694.38

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Solution

The fourth proportional to 170,022, 255,038.40 and 51,694.38 is: 77,543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,022 : 255,038.40 = 51,694.38 : x
  2. Step 2: Convert to fraction form
    170,022/255,038.40 = 51,694.38/x
  3. Step 3: Cross multiply
    170,022x = 255,038.40 × 51,694.38
  4. Step 4: Simplify right side
    170,022x = 13,184,051,964.19
  5. Step 5: Solve for x
    x = 13,184,051,964.19/170,022
  6. Step 6: Final answer
    x = 77,543.21

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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.