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Finding the Fourth Proportional to 105,330.21, 157,963.19 and 55,383.21

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Solution

The fourth proportional to 105,330.21, 157,963.19 and 55,383.21 is: 83,057.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,330.21 : 157,963.19 = 55,383.21 : x
  2. Step 2: Convert to fraction form
    105,330.21/157,963.19 = 55,383.21/x
  3. Step 3: Cross multiply
    105,330.21x = 157,963.19 × 55,383.21
  4. Step 4: Simplify right side
    105,330.21x = 8,748,508,247.12
  5. Step 5: Solve for x
    x = 8,748,508,247.12/105,330.21
  6. Step 6: Final answer
    x = 83,057.92

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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.