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Finding the Fourth Proportional to 205,241.60, 307,831.62 and 64,982

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Solution

The fourth proportional to 205,241.60, 307,831.62 and 64,982 is: 97,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,241.60 : 307,831.62 = 64,982 : x
  2. Step 2: Convert to fraction form
    205,241.60/307,831.62 = 64,982/x
  3. Step 3: Cross multiply
    205,241.60x = 307,831.62 × 64,982
  4. Step 4: Simplify right side
    205,241.60x = 20,003,514,330.84
  5. Step 5: Solve for x
    x = 20,003,514,330.84/205,241.60
  6. Step 6: Final answer
    x = 97,463.25

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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.