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Finding the Fourth Proportional to 180,978.90, 249,725.80 and 120,588.54

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Solution

The fourth proportional to 180,978.90, 249,725.80 and 120,588.54 is: 166,395.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,978.90 : 249,725.80 = 120,588.54 : x
  2. Step 2: Convert to fraction form
    180,978.90/249,725.80 = 120,588.54/x
  3. Step 3: Cross multiply
    180,978.90x = 249,725.80 × 120,588.54
  4. Step 4: Simplify right side
    180,978.90x = 30,114,069,622.33
  5. Step 5: Solve for x
    x = 30,114,069,622.33/180,978.90
  6. Step 6: Final answer
    x = 166,395.47

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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.