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Finding the Fourth Proportional to 205,044.80, 307,509.60 and 64,846.40

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Solution

The fourth proportional to 205,044.80, 307,509.60 and 64,846.40 is: 97,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,044.80 : 307,509.60 = 64,846.40 : x
  2. Step 2: Convert to fraction form
    205,044.80/307,509.60 = 64,846.40/x
  3. Step 3: Cross multiply
    205,044.80x = 307,509.60 × 64,846.40
  4. Step 4: Simplify right side
    205,044.80x = 19,940,890,525.44
  5. Step 5: Solve for x
    x = 19,940,890,525.44/205,044.80
  6. Step 6: Final answer
    x = 97,251.38

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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.