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Finding the Fourth Proportional to 203,009.53, 280,146 and 112,365.67

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Solution

The fourth proportional to 203,009.53, 280,146 and 112,365.67 is: 155,060.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,009.53 : 280,146 = 112,365.67 : x
  2. Step 2: Convert to fraction form
    203,009.53/280,146 = 112,365.67/x
  3. Step 3: Cross multiply
    203,009.53x = 280,146 × 112,365.67
  4. Step 4: Simplify right side
    203,009.53x = 31,478,792,987.82
  5. Step 5: Solve for x
    x = 31,478,792,987.82/203,009.53
  6. Step 6: Final answer
    x = 155,060.67

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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.