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Finding the Fourth Proportional to 257,262, 355,021.56 and 144,121.20

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Solution

The fourth proportional to 257,262, 355,021.56 and 144,121.20 is: 198,887.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,262 : 355,021.56 = 144,121.20 : x
  2. Step 2: Convert to fraction form
    257,262/355,021.56 = 144,121.20/x
  3. Step 3: Cross multiply
    257,262x = 355,021.56 × 144,121.20
  4. Step 4: Simplify right side
    257,262x = 51,166,133,253.07
  5. Step 5: Solve for x
    x = 51,166,133,253.07/257,262
  6. Step 6: Final answer
    x = 198,887.26

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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.