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Finding the Fourth Proportional to 166,523.12, 249,866.68 and 77,763.72

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Solution

The fourth proportional to 166,523.12, 249,866.68 and 77,763.72 is: 116,683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,523.12 : 249,866.68 = 77,763.72 : x
  2. Step 2: Convert to fraction form
    166,523.12/249,866.68 = 77,763.72/x
  3. Step 3: Cross multiply
    166,523.12x = 249,866.68 × 77,763.72
  4. Step 4: Simplify right side
    166,523.12x = 19,430,562,540.85
  5. Step 5: Solve for x
    x = 19,430,562,540.85/166,523.12
  6. Step 6: Final answer
    x = 116,683.88

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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.