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Finding the Fourth Proportional to 180,678.60, 249,546.42 and 170,181

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Solution

The fourth proportional to 180,678.60, 249,546.42 and 170,181 is: 235,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,678.60 : 249,546.42 = 170,181 : x
  2. Step 2: Convert to fraction form
    180,678.60/249,546.42 = 170,181/x
  3. Step 3: Cross multiply
    180,678.60x = 249,546.42 × 170,181
  4. Step 4: Simplify right side
    180,678.60x = 42,468,059,302.02
  5. Step 5: Solve for x
    x = 42,468,059,302.02/180,678.60
  6. Step 6: Final answer
    x = 235,047.53

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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.