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Finding the Fourth Proportional to 245,658.74, 367,897.61 and 140,157.86

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Solution

The fourth proportional to 245,658.74, 367,897.61 and 140,157.86 is: 209,899.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,658.74 : 367,897.61 = 140,157.86 : x
  2. Step 2: Convert to fraction form
    245,658.74/367,897.61 = 140,157.86/x
  3. Step 3: Cross multiply
    245,658.74x = 367,897.61 × 140,157.86
  4. Step 4: Simplify right side
    245,658.74x = 51,563,739,176.44
  5. Step 5: Solve for x
    x = 51,563,739,176.44/245,658.74
  6. Step 6: Final answer
    x = 209,899.88

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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.