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Finding the Fourth Proportional to 166,015, 249,019.98 and 77,218.84

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Solution

The fourth proportional to 166,015, 249,019.98 and 77,218.84 is: 115,827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,015 : 249,019.98 = 77,218.84 : x
  2. Step 2: Convert to fraction form
    166,015/249,019.98 = 77,218.84/x
  3. Step 3: Cross multiply
    166,015x = 249,019.98 × 77,218.84
  4. Step 4: Simplify right side
    166,015x = 19,229,033,992.42
  5. Step 5: Solve for x
    x = 19,229,033,992.42/166,015
  6. Step 6: Final answer
    x = 115,827.09

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1.5x scale

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.