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Finding the Fourth Proportional to 100,341.96, 138,472.10 and 55,629.96

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Solution

The fourth proportional to 100,341.96, 138,472.10 and 55,629.96 is: 76,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,341.96 : 138,472.10 = 55,629.96 : x
  2. Step 2: Convert to fraction form
    100,341.96/138,472.10 = 55,629.96/x
  3. Step 3: Cross multiply
    100,341.96x = 138,472.10 × 55,629.96
  4. Step 4: Simplify right side
    100,341.96x = 7,703,197,384.12
  5. Step 5: Solve for x
    x = 7,703,197,384.12/100,341.96
  6. Step 6: Final answer
    x = 76,769.45

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1.5x scale

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.