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Finding the Fourth Proportional to 105,673.82, 145,831.64 and 57,277.28

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Solution

The fourth proportional to 105,673.82, 145,831.64 and 57,277.28 is: 79,043.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,673.82 : 145,831.64 = 57,277.28 : x
  2. Step 2: Convert to fraction form
    105,673.82/145,831.64 = 57,277.28/x
  3. Step 3: Cross multiply
    105,673.82x = 145,831.64 × 57,277.28
  4. Step 4: Simplify right side
    105,673.82x = 8,352,839,257.21
  5. Step 5: Solve for x
    x = 8,352,839,257.21/105,673.82
  6. Step 6: Final answer
    x = 79,043.60

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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.