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Finding the Fourth Proportional to 166,543.80, 249,930.90 and 119,830.20

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Solution

The fourth proportional to 166,543.80, 249,930.90 and 119,830.20 is: 179,828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,543.80 : 249,930.90 = 119,830.20 : x
  2. Step 2: Convert to fraction form
    166,543.80/249,930.90 = 119,830.20/x
  3. Step 3: Cross multiply
    166,543.80x = 249,930.90 × 119,830.20
  4. Step 4: Simplify right side
    166,543.80x = 29,949,269,733.18
  5. Step 5: Solve for x
    x = 29,949,269,733.18/166,543.80
  6. Step 6: Final answer
    x = 179,828.19

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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.