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Finding the Fourth Proportional to 257,901.93, 355,911.71 and 144,731.61

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Solution

The fourth proportional to 257,901.93, 355,911.71 and 144,731.61 is: 199,733.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,901.93 : 355,911.71 = 144,731.61 : x
  2. Step 2: Convert to fraction form
    257,901.93/355,911.71 = 144,731.61/x
  3. Step 3: Cross multiply
    257,901.93x = 355,911.71 × 144,731.61
  4. Step 4: Simplify right side
    257,901.93x = 51,511,674,082.50
  5. Step 5: Solve for x
    x = 51,511,674,082.50/257,901.93
  6. Step 6: Final answer
    x = 199,733.57

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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.