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Finding the Fourth Proportional to 202,942.17, 279,831 and 151,790.98

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Solution

The fourth proportional to 202,942.17, 279,831 and 151,790.98 is: 209,300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,942.17 : 279,831 = 151,790.98 : x
  2. Step 2: Convert to fraction form
    202,942.17/279,831 = 151,790.98/x
  3. Step 3: Cross multiply
    202,942.17x = 279,831 × 151,790.98
  4. Step 4: Simplify right side
    202,942.17x = 42,475,820,325.23
  5. Step 5: Solve for x
    x = 42,475,820,325.23/202,942.17
  6. Step 6: Final answer
    x = 209,300.12

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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.