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Finding the Fourth Proportional to 218,775.94, 328,163.91 and 71,031.94

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Solution

The fourth proportional to 218,775.94, 328,163.91 and 71,031.94 is: 106,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,775.94 : 328,163.91 = 71,031.94 : x
  2. Step 2: Convert to fraction form
    218,775.94/328,163.91 = 71,031.94/x
  3. Step 3: Cross multiply
    218,775.94x = 328,163.91 × 71,031.94
  4. Step 4: Simplify right side
    218,775.94x = 23,310,118,078.51
  5. Step 5: Solve for x
    x = 23,310,118,078.51/218,775.94
  6. Step 6: Final answer
    x = 106,547.91

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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.