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Finding the Fourth Proportional to 202,322.68, 279,205.31 and 111,678.67

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Solution

The fourth proportional to 202,322.68, 279,205.31 and 111,678.67 is: 154,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,322.68 : 279,205.31 = 111,678.67 : x
  2. Step 2: Convert to fraction form
    202,322.68/279,205.31 = 111,678.67/x
  3. Step 3: Cross multiply
    202,322.68x = 279,205.31 × 111,678.67
  4. Step 4: Simplify right side
    202,322.68x = 31,181,277,677.74
  5. Step 5: Solve for x
    x = 31,181,277,677.74/202,322.68
  6. Step 6: Final answer
    x = 154,116.57

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1.5x scale

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.