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Finding the Fourth Proportional to 257,254.37, 385,881.69 and 107,412.98

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Solution

The fourth proportional to 257,254.37, 385,881.69 and 107,412.98 is: 161,119.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,254.37 : 385,881.69 = 107,412.98 : x
  2. Step 2: Convert to fraction form
    257,254.37/385,881.69 = 107,412.98/x
  3. Step 3: Cross multiply
    257,254.37x = 385,881.69 × 107,412.98
  4. Step 4: Simplify right side
    257,254.37x = 41,448,700,320.93
  5. Step 5: Solve for x
    x = 41,448,700,320.93/257,254.37
  6. Step 6: Final answer
    x = 161,119.52

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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.