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Finding the Fourth Proportional to 180,907.56, 249,640.02 and 100,327.50

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Solution

The fourth proportional to 180,907.56, 249,640.02 and 100,327.50 is: 138,445.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,907.56 : 249,640.02 = 100,327.50 : x
  2. Step 2: Convert to fraction form
    180,907.56/249,640.02 = 100,327.50/x
  3. Step 3: Cross multiply
    180,907.56x = 249,640.02 × 100,327.50
  4. Step 4: Simplify right side
    180,907.56x = 25,045,759,106.55
  5. Step 5: Solve for x
    x = 25,045,759,106.55/180,907.56
  6. Step 6: Final answer
    x = 138,445.07

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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.