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Finding the Fourth Proportional to 205,181.60, 307,772.40 and 64,983.20

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Solution

The fourth proportional to 205,181.60, 307,772.40 and 64,983.20 is: 97,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,181.60 : 307,772.40 = 64,983.20 : x
  2. Step 2: Convert to fraction form
    205,181.60/307,772.40 = 64,983.20/x
  3. Step 3: Cross multiply
    205,181.60x = 307,772.40 × 64,983.20
  4. Step 4: Simplify right side
    205,181.60x = 20,000,035,423.68
  5. Step 5: Solve for x
    x = 20,000,035,423.68/205,181.60
  6. Step 6: Final answer
    x = 97,474.80

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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.