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Finding the Fourth Proportional to 205,239.60, 307,828.62 and 64,980

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Solution

The fourth proportional to 205,239.60, 307,828.62 and 64,980 is: 97,460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,239.60 : 307,828.62 = 64,980 : x
  2. Step 2: Convert to fraction form
    205,239.60/307,828.62 = 64,980/x
  3. Step 3: Cross multiply
    205,239.60x = 307,828.62 × 64,980
  4. Step 4: Simplify right side
    205,239.60x = 20,002,703,727.60
  5. Step 5: Solve for x
    x = 20,002,703,727.60/205,239.60
  6. Step 6: Final answer
    x = 97,460.25

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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.