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Finding the Fourth Proportional to 178,171.79, 266,636.39 and 145,776.46

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Solution

The fourth proportional to 178,171.79, 266,636.39 and 145,776.46 is: 218,156.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,171.79 : 266,636.39 = 145,776.46 : x
  2. Step 2: Convert to fraction form
    178,171.79/266,636.39 = 145,776.46/x
  3. Step 3: Cross multiply
    178,171.79x = 266,636.39 × 145,776.46
  4. Step 4: Simplify right side
    178,171.79x = 38,869,308,965.84
  5. Step 5: Solve for x
    x = 38,869,308,965.84/178,171.79
  6. Step 6: Final answer
    x = 218,156.37

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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.