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Finding the Fourth Proportional to 166,849.60, 249,978.48 and 138,604

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Solution

The fourth proportional to 166,849.60, 249,978.48 and 138,604 is: 207,660.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,849.60 : 249,978.48 = 138,604 : x
  2. Step 2: Convert to fraction form
    166,849.60/249,978.48 = 138,604/x
  3. Step 3: Cross multiply
    166,849.60x = 249,978.48 × 138,604
  4. Step 4: Simplify right side
    166,849.60x = 34,648,017,241.92
  5. Step 5: Solve for x
    x = 34,648,017,241.92/166,849.60
  6. Step 6: Final answer
    x = 207,660.18

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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.