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Finding the Fourth Proportional to 166,187.49, 249,180.99 and 77,460.90

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Solution

The fourth proportional to 166,187.49, 249,180.99 and 77,460.90 is: 116,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,187.49 : 249,180.99 = 77,460.90 : x
  2. Step 2: Convert to fraction form
    166,187.49/249,180.99 = 77,460.90/x
  3. Step 3: Cross multiply
    166,187.49x = 249,180.99 × 77,460.90
  4. Step 4: Simplify right side
    166,187.49x = 19,301,782,502.39
  5. Step 5: Solve for x
    x = 19,301,782,502.39/166,187.49
  6. Step 6: Final answer
    x = 116,144.62

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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.