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Finding the Fourth Proportional to 139,841.84, 192,976.30 and 85,485.02

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Solution

The fourth proportional to 139,841.84, 192,976.30 and 85,485.02 is: 117,966.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,841.84 : 192,976.30 = 85,485.02 : x
  2. Step 2: Convert to fraction form
    139,841.84/192,976.30 = 85,485.02/x
  3. Step 3: Cross multiply
    139,841.84x = 192,976.30 × 85,485.02
  4. Step 4: Simplify right side
    139,841.84x = 16,496,582,852.07
  5. Step 5: Solve for x
    x = 16,496,582,852.07/139,841.84
  6. Step 6: Final answer
    x = 117,966.00

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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.