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Finding the Fourth Proportional to 102,159.40, 140,952.42 and 59,728.36

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Solution

The fourth proportional to 102,159.40, 140,952.42 and 59,728.36 is: 82,409.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,159.40 : 140,952.42 = 59,728.36 : x
  2. Step 2: Convert to fraction form
    102,159.40/140,952.42 = 59,728.36/x
  3. Step 3: Cross multiply
    102,159.40x = 140,952.42 × 59,728.36
  4. Step 4: Simplify right side
    102,159.40x = 8,418,856,884.63
  5. Step 5: Solve for x
    x = 8,418,856,884.63/102,159.40
  6. Step 6: Final answer
    x = 82,409.03

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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.