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Finding the Fourth Proportional to 257,763.55, 355,712.93 and 143,059.47

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Solution

The fourth proportional to 257,763.55, 355,712.93 and 143,059.47 is: 197,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,763.55 : 355,712.93 = 143,059.47 : x
  2. Step 2: Convert to fraction form
    257,763.55/355,712.93 = 143,059.47/x
  3. Step 3: Cross multiply
    257,763.55x = 355,712.93 × 143,059.47
  4. Step 4: Simplify right side
    257,763.55x = 50,888,103,237.95
  5. Step 5: Solve for x
    x = 50,888,103,237.95/257,763.55
  6. Step 6: Final answer
    x = 197,421.64

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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.