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Finding the Fourth Proportional to 166,228, 249,355.04 and 55,420

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Solution

The fourth proportional to 166,228, 249,355.04 and 55,420 is: 83,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,228 : 249,355.04 = 55,420 : x
  2. Step 2: Convert to fraction form
    166,228/249,355.04 = 55,420/x
  3. Step 3: Cross multiply
    166,228x = 249,355.04 × 55,420
  4. Step 4: Simplify right side
    166,228x = 13,819,256,316.80
  5. Step 5: Solve for x
    x = 13,819,256,316.80/166,228
  6. Step 6: Final answer
    x = 83,134.35

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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.