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Finding the Fourth Proportional to 178,065.30, 266,579.55 and 172,881.30

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Solution

The fourth proportional to 178,065.30, 266,579.55 and 172,881.30 is: 258,818.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,065.30 : 266,579.55 = 172,881.30 : x
  2. Step 2: Convert to fraction form
    178,065.30/266,579.55 = 172,881.30/x
  3. Step 3: Cross multiply
    178,065.30x = 266,579.55 × 172,881.30
  4. Step 4: Simplify right side
    178,065.30x = 46,086,619,157.42
  5. Step 5: Solve for x
    x = 46,086,619,157.42/178,065.30
  6. Step 6: Final answer
    x = 258,818.64

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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.