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Finding the Fourth Proportional to 257,253.86, 385,880.94 and 107,412.47

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Solution

The fourth proportional to 257,253.86, 385,880.94 and 107,412.47 is: 161,118.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,253.86 : 385,880.94 = 107,412.47 : x
  2. Step 2: Convert to fraction form
    257,253.86/385,880.94 = 107,412.47/x
  3. Step 3: Cross multiply
    257,253.86x = 385,880.94 × 107,412.47
  4. Step 4: Simplify right side
    257,253.86x = 41,448,424,891.32
  5. Step 5: Solve for x
    x = 41,448,424,891.32/257,253.86
  6. Step 6: Final answer
    x = 161,118.77

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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.