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Finding the Fourth Proportional to 205,405.40, 307,848.90 and 99,997.40

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Solution

The fourth proportional to 205,405.40, 307,848.90 and 99,997.40 is: 149,869.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,405.40 : 307,848.90 = 99,997.40 : x
  2. Step 2: Convert to fraction form
    205,405.40/307,848.90 = 99,997.40/x
  3. Step 3: Cross multiply
    205,405.40x = 307,848.90 × 99,997.40
  4. Step 4: Simplify right side
    205,405.40x = 30,784,089,592.86
  5. Step 5: Solve for x
    x = 30,784,089,592.86/205,405.40
  6. Step 6: Final answer
    x = 149,869.91

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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.