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Finding the Fourth Proportional to 180,852.55, 249,576.09 and 100,278

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Solution

The fourth proportional to 180,852.55, 249,576.09 and 100,278 is: 138,383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,852.55 : 249,576.09 = 100,278 : x
  2. Step 2: Convert to fraction form
    180,852.55/249,576.09 = 100,278/x
  3. Step 3: Cross multiply
    180,852.55x = 249,576.09 × 100,278
  4. Step 4: Simplify right side
    180,852.55x = 25,026,990,776.98
  5. Step 5: Solve for x
    x = 25,026,990,776.98/180,852.55
  6. Step 6: Final answer
    x = 138,383.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.