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Finding the Fourth Proportional to 178,147.80, 266,849.10 and 83,458.80

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Solution

The fourth proportional to 178,147.80, 266,849.10 and 83,458.80 is: 125,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,147.80 : 266,849.10 = 83,458.80 : x
  2. Step 2: Convert to fraction form
    178,147.80/266,849.10 = 83,458.80/x
  3. Step 3: Cross multiply
    178,147.80x = 266,849.10 × 83,458.80
  4. Step 4: Simplify right side
    178,147.80x = 22,270,905,667.08
  5. Step 5: Solve for x
    x = 22,270,905,667.08/178,147.80
  6. Step 6: Final answer
    x = 125,013.64

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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.