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Finding the Fourth Proportional to 180,405.42, 249,165.08 and 122,945.64

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Solution

The fourth proportional to 180,405.42, 249,165.08 and 122,945.64 is: 169,805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,405.42 : 249,165.08 = 122,945.64 : x
  2. Step 2: Convert to fraction form
    180,405.42/249,165.08 = 122,945.64/x
  3. Step 3: Cross multiply
    180,405.42x = 249,165.08 × 122,945.64
  4. Step 4: Simplify right side
    180,405.42x = 30,633,760,226.25
  5. Step 5: Solve for x
    x = 30,633,760,226.25/180,405.42
  6. Step 6: Final answer
    x = 169,805.10

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1.5x scale

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.