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Finding the Fourth Proportional to 249,986, 375,018.10 and 81,467.22

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Solution

The fourth proportional to 249,986, 375,018.10 and 81,467.22 is: 122,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,986 : 375,018.10 = 81,467.22 : x
  2. Step 2: Convert to fraction form
    249,986/375,018.10 = 81,467.22/x
  3. Step 3: Cross multiply
    249,986x = 375,018.10 × 81,467.22
  4. Step 4: Simplify right side
    249,986x = 30,551,682,056.68
  5. Step 5: Solve for x
    x = 30,551,682,056.68/249,986
  6. Step 6: Final answer
    x = 122,213.57

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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.