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Finding the Fourth Proportional to 143,820.30, 215,548.20 and 54,955.20

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Solution

The fourth proportional to 143,820.30, 215,548.20 and 54,955.20 is: 82,363.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,820.30 : 215,548.20 = 54,955.20 : x
  2. Step 2: Convert to fraction form
    143,820.30/215,548.20 = 54,955.20/x
  3. Step 3: Cross multiply
    143,820.30x = 215,548.20 × 54,955.20
  4. Step 4: Simplify right side
    143,820.30x = 11,845,494,440.64
  5. Step 5: Solve for x
    x = 11,845,494,440.64/143,820.30
  6. Step 6: Final answer
    x = 82,363.16

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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.