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Finding the Fourth Proportional to 120,547.71, 166,355.56 and 66,831.34

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Solution

The fourth proportional to 120,547.71, 166,355.56 and 66,831.34 is: 92,227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,547.71 : 166,355.56 = 66,831.34 : x
  2. Step 2: Convert to fraction form
    120,547.71/166,355.56 = 66,831.34/x
  3. Step 3: Cross multiply
    120,547.71x = 166,355.56 × 66,831.34
  4. Step 4: Simplify right side
    120,547.71x = 11,117,764,991.25
  5. Step 5: Solve for x
    x = 11,117,764,991.25/120,547.71
  6. Step 6: Final answer
    x = 92,227.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.