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Finding the Fourth Proportional to 199,355.42, 299,157.63 and 81,026.72

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Solution

The fourth proportional to 199,355.42, 299,157.63 and 81,026.72 is: 121,590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,355.42 : 299,157.63 = 81,026.72 : x
  2. Step 2: Convert to fraction form
    199,355.42/299,157.63 = 81,026.72/x
  3. Step 3: Cross multiply
    199,355.42x = 299,157.63 × 81,026.72
  4. Step 4: Simplify right side
    199,355.42x = 24,239,761,521.87
  5. Step 5: Solve for x
    x = 24,239,761,521.87/199,355.42
  6. Step 6: Final answer
    x = 121,590.68

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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.