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Finding the Fourth Proportional to 170,206, 255,309 and 45,543.76

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Solution

The fourth proportional to 170,206, 255,309 and 45,543.76 is: 68,315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,206 : 255,309 = 45,543.76 : x
  2. Step 2: Convert to fraction form
    170,206/255,309 = 45,543.76/x
  3. Step 3: Cross multiply
    170,206x = 255,309 × 45,543.76
  4. Step 4: Simplify right side
    170,206x = 11,627,731,821.84
  5. Step 5: Solve for x
    x = 11,627,731,821.84/170,206
  6. Step 6: Final answer
    x = 68,315.64

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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.