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Finding the Fourth Proportional to 297,106.57, 445,699.55 and 86,741.47

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Solution

The fourth proportional to 297,106.57, 445,699.55 and 86,741.47 is: 130,123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,106.57 : 445,699.55 = 86,741.47 : x
  2. Step 2: Convert to fraction form
    297,106.57/445,699.55 = 86,741.47/x
  3. Step 3: Cross multiply
    297,106.57x = 445,699.55 × 86,741.47
  4. Step 4: Simplify right side
    297,106.57x = 38,660,634,145.34
  5. Step 5: Solve for x
    x = 38,660,634,145.34/297,106.57
  6. Step 6: Final answer
    x = 130,123.79

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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.