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Finding the Fourth Proportional to 85,208.46, 127,726.11 and 35,315.70

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Solution

The fourth proportional to 85,208.46, 127,726.11 and 35,315.70 is: 52,937.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,208.46 : 127,726.11 = 35,315.70 : x
  2. Step 2: Convert to fraction form
    85,208.46/127,726.11 = 35,315.70/x
  3. Step 3: Cross multiply
    85,208.46x = 127,726.11 × 35,315.70
  4. Step 4: Simplify right side
    85,208.46x = 4,510,736,982.93
  5. Step 5: Solve for x
    x = 4,510,736,982.93/85,208.46
  6. Step 6: Final answer
    x = 52,937.67

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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.