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Finding the Fourth Proportional to 100,041.63, 138,056.45 and 54,720.50

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Solution

The fourth proportional to 100,041.63, 138,056.45 and 54,720.50 is: 75,513.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,041.63 : 138,056.45 = 54,720.50 : x
  2. Step 2: Convert to fraction form
    100,041.63/138,056.45 = 54,720.50/x
  3. Step 3: Cross multiply
    100,041.63x = 138,056.45 × 54,720.50
  4. Step 4: Simplify right side
    100,041.63x = 7,554,517,008.34
  5. Step 5: Solve for x
    x = 7,554,517,008.34/100,041.63
  6. Step 6: Final answer
    x = 75,513.73

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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.