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Finding the Fourth Proportional to 257,163, 354,888.60 and 148,265.18

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Solution

The fourth proportional to 257,163, 354,888.60 and 148,265.18 is: 204,608.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,163 : 354,888.60 = 148,265.18 : x
  2. Step 2: Convert to fraction form
    257,163/354,888.60 = 148,265.18/x
  3. Step 3: Cross multiply
    257,163x = 354,888.60 × 148,265.18
  4. Step 4: Simplify right side
    257,163x = 52,617,622,178.67
  5. Step 5: Solve for x
    x = 52,617,622,178.67/257,163
  6. Step 6: Final answer
    x = 204,608.06

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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.