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Finding the Fourth Proportional to 297,051.68, 445,596.96 and 86,672

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Solution

The fourth proportional to 297,051.68, 445,596.96 and 86,672 is: 130,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,051.68 : 445,596.96 = 86,672 : x
  2. Step 2: Convert to fraction form
    297,051.68/445,596.96 = 86,672/x
  3. Step 3: Cross multiply
    297,051.68x = 445,596.96 × 86,672
  4. Step 4: Simplify right side
    297,051.68x = 38,620,779,717.12
  5. Step 5: Solve for x
    x = 38,620,779,717.12/297,051.68
  6. Step 6: Final answer
    x = 130,013.67

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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.