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Finding the Fourth Proportional to 170,138.86, 255,245.19 and 51,807.10

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Solution

The fourth proportional to 170,138.86, 255,245.19 and 51,807.10 is: 77,721.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,138.86 : 255,245.19 = 51,807.10 : x
  2. Step 2: Convert to fraction form
    170,138.86/255,245.19 = 51,807.10/x
  3. Step 3: Cross multiply
    170,138.86x = 255,245.19 × 51,807.10
  4. Step 4: Simplify right side
    170,138.86x = 13,223,513,082.85
  5. Step 5: Solve for x
    x = 13,223,513,082.85/170,138.86
  6. Step 6: Final answer
    x = 77,721.89

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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.