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Finding the Fourth Proportional to 166,109.60, 249,164.40 and 148,138.40

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Solution

The fourth proportional to 166,109.60, 249,164.40 and 148,138.40 is: 222,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,109.60 : 249,164.40 = 148,138.40 : x
  2. Step 2: Convert to fraction form
    166,109.60/249,164.40 = 148,138.40/x
  3. Step 3: Cross multiply
    166,109.60x = 249,164.40 × 148,138.40
  4. Step 4: Simplify right side
    166,109.60x = 36,910,815,552.96
  5. Step 5: Solve for x
    x = 36,910,815,552.96/166,109.60
  6. Step 6: Final answer
    x = 222,207.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.