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Finding the Fourth Proportional to 257,806.01, 355,766.93 and 143,077.98

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Solution

The fourth proportional to 257,806.01, 355,766.93 and 143,077.98 is: 197,444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,806.01 : 355,766.93 = 143,077.98 : x
  2. Step 2: Convert to fraction form
    257,806.01/355,766.93 = 143,077.98/x
  3. Step 3: Cross multiply
    257,806.01x = 355,766.93 × 143,077.98
  4. Step 4: Simplify right side
    257,806.01x = 50,902,412,979.81
  5. Step 5: Solve for x
    x = 50,902,412,979.81/257,806.01
  6. Step 6: Final answer
    x = 197,444.64

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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.