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Finding the Fourth Proportional to 166,308.98, 249,641.08 and 71,586.08

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Solution

The fourth proportional to 166,308.98, 249,641.08 and 71,586.08 is: 107,455.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,308.98 : 249,641.08 = 71,586.08 : x
  2. Step 2: Convert to fraction form
    166,308.98/249,641.08 = 71,586.08/x
  3. Step 3: Cross multiply
    166,308.98x = 249,641.08 × 71,586.08
  4. Step 4: Simplify right side
    166,308.98x = 17,870,826,324.17
  5. Step 5: Solve for x
    x = 17,870,826,324.17/166,308.98
  6. Step 6: Final answer
    x = 107,455.57

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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.