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Finding the Fourth Proportional to 203,004, 280,146.07 and 112,366.21

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Solution

The fourth proportional to 203,004, 280,146.07 and 112,366.21 is: 155,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,004 : 280,146.07 = 112,366.21 : x
  2. Step 2: Convert to fraction form
    203,004/280,146.07 = 112,366.21/x
  3. Step 3: Cross multiply
    203,004x = 280,146.07 × 112,366.21
  4. Step 4: Simplify right side
    203,004x = 31,478,952,132.29
  5. Step 5: Solve for x
    x = 31,478,952,132.29/203,004
  6. Step 6: Final answer
    x = 155,065.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.