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Finding the Fourth Proportional to 141,602.56, 195,380.16 and 81,952

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Solution

The fourth proportional to 141,602.56, 195,380.16 and 81,952 is: 113,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,602.56 : 195,380.16 = 81,952 : x
  2. Step 2: Convert to fraction form
    141,602.56/195,380.16 = 81,952/x
  3. Step 3: Cross multiply
    141,602.56x = 195,380.16 × 81,952
  4. Step 4: Simplify right side
    141,602.56x = 16,011,794,872.32
  5. Step 5: Solve for x
    x = 16,011,794,872.32/141,602.56
  6. Step 6: Final answer
    x = 113,075.60

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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.