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Finding the Fourth Proportional to 257,736.68, 386,287.74 and 122,871.80

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Solution

The fourth proportional to 257,736.68, 386,287.74 and 122,871.80 is: 184,156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,736.68 : 386,287.74 = 122,871.80 : x
  2. Step 2: Convert to fraction form
    257,736.68/386,287.74 = 122,871.80/x
  3. Step 3: Cross multiply
    257,736.68x = 386,287.74 × 122,871.80
  4. Step 4: Simplify right side
    257,736.68x = 47,463,869,931.73
  5. Step 5: Solve for x
    x = 47,463,869,931.73/257,736.68
  6. Step 6: Final answer
    x = 184,156.44

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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.