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Finding the Fourth Proportional to 257,094.68, 385,727.94 and 123,959.21

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Solution

The fourth proportional to 257,094.68, 385,727.94 and 123,959.21 is: 185,980.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,094.68 : 385,727.94 = 123,959.21 : x
  2. Step 2: Convert to fraction form
    257,094.68/385,727.94 = 123,959.21/x
  3. Step 3: Cross multiply
    257,094.68x = 385,727.94 × 123,959.21
  4. Step 4: Simplify right side
    257,094.68x = 47,814,528,788.69
  5. Step 5: Solve for x
    x = 47,814,528,788.69/257,094.68
  6. Step 6: Final answer
    x = 185,980.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.