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Finding the Fourth Proportional to 257,066, 385,655.16 and 77,143.76

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Solution

The fourth proportional to 257,066, 385,655.16 and 77,143.76 is: 115,732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,066 : 385,655.16 = 77,143.76 : x
  2. Step 2: Convert to fraction form
    257,066/385,655.16 = 77,143.76/x
  3. Step 3: Cross multiply
    257,066x = 385,655.16 × 77,143.76
  4. Step 4: Simplify right side
    257,066x = 29,750,889,105.80
  5. Step 5: Solve for x
    x = 29,750,889,105.80/257,066
  6. Step 6: Final answer
    x = 115,732.49

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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.