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Finding the Fourth Proportional to 257,163.93, 385,764.37 and 88,681.83

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Solution

The fourth proportional to 257,163.93, 385,764.37 and 88,681.83 is: 133,029.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,163.93 : 385,764.37 = 88,681.83 : x
  2. Step 2: Convert to fraction form
    257,163.93/385,764.37 = 88,681.83/x
  3. Step 3: Cross multiply
    257,163.93x = 385,764.37 × 88,681.83
  4. Step 4: Simplify right side
    257,163.93x = 34,210,288,612.08
  5. Step 5: Solve for x
    x = 34,210,288,612.08/257,163.93
  6. Step 6: Final answer
    x = 133,029.11

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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.