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Finding the Fourth Proportional to 257,536.66, 355,390.71 and 142,820.02

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Solution

The fourth proportional to 257,536.66, 355,390.71 and 142,820.02 is: 197,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,536.66 : 355,390.71 = 142,820.02 : x
  2. Step 2: Convert to fraction form
    257,536.66/355,390.71 = 142,820.02/x
  3. Step 3: Cross multiply
    257,536.66x = 355,390.71 × 142,820.02
  4. Step 4: Simplify right side
    257,536.66x = 50,756,908,310.01
  5. Step 5: Solve for x
    x = 50,756,908,310.01/257,536.66
  6. Step 6: Final answer
    x = 197,086.15

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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.