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Finding the Fourth Proportional to 257,146.67, 354,883.95 and 149,723.98

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Solution

The fourth proportional to 257,146.67, 354,883.95 and 149,723.98 is: 206,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,146.67 : 354,883.95 = 149,723.98 : x
  2. Step 2: Convert to fraction form
    257,146.67/354,883.95 = 149,723.98/x
  3. Step 3: Cross multiply
    257,146.67x = 354,883.95 × 149,723.98
  4. Step 4: Simplify right side
    257,146.67x = 53,134,636,544.91
  5. Step 5: Solve for x
    x = 53,134,636,544.91/257,146.67
  6. Step 6: Final answer
    x = 206,631.63

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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.