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Finding the Fourth Proportional to 166,431.78, 249,647.70 and 55,623.78

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Solution

The fourth proportional to 166,431.78, 249,647.70 and 55,623.78 is: 83,435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,431.78 : 249,647.70 = 55,623.78 : x
  2. Step 2: Convert to fraction form
    166,431.78/249,647.70 = 55,623.78/x
  3. Step 3: Cross multiply
    166,431.78x = 249,647.70 × 55,623.78
  4. Step 4: Simplify right side
    166,431.78x = 13,886,348,742.31
  5. Step 5: Solve for x
    x = 13,886,348,742.31/166,431.78
  6. Step 6: Final answer
    x = 83,435.68

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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.