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Finding the Fourth Proportional to 172,549.62, 258,704.35 and 76,434.64

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Solution

The fourth proportional to 172,549.62, 258,704.35 and 76,434.64 is: 114,598.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,549.62 : 258,704.35 = 76,434.64 : x
  2. Step 2: Convert to fraction form
    172,549.62/258,704.35 = 76,434.64/x
  3. Step 3: Cross multiply
    172,549.62x = 258,704.35 × 76,434.64
  4. Step 4: Simplify right side
    172,549.62x = 19,773,973,020.84
  5. Step 5: Solve for x
    x = 19,773,973,020.84/172,549.62
  6. Step 6: Final answer
    x = 114,598.76

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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.