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Finding the Fourth Proportional to 166,338.80, 249,664.80 and 87,509.60

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Solution

The fourth proportional to 166,338.80, 249,664.80 and 87,509.60 is: 131,346.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,338.80 : 249,664.80 = 87,509.60 : x
  2. Step 2: Convert to fraction form
    166,338.80/249,664.80 = 87,509.60/x
  3. Step 3: Cross multiply
    166,338.80x = 249,664.80 × 87,509.60
  4. Step 4: Simplify right side
    166,338.80x = 21,848,066,782.08
  5. Step 5: Solve for x
    x = 21,848,066,782.08/166,338.80
  6. Step 6: Final answer
    x = 131,346.79

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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.