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Finding the Fourth Proportional to 257,842.74, 355,817.40 and 143,114.64

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Solution

The fourth proportional to 257,842.74, 355,817.40 and 143,114.64 is: 197,495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,842.74 : 355,817.40 = 143,114.64 : x
  2. Step 2: Convert to fraction form
    257,842.74/355,817.40 = 143,114.64/x
  3. Step 3: Cross multiply
    257,842.74x = 355,817.40 × 143,114.64
  4. Step 4: Simplify right side
    257,842.74x = 50,922,679,106.74
  5. Step 5: Solve for x
    x = 50,922,679,106.74/257,842.74
  6. Step 6: Final answer
    x = 197,495.11

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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.