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Finding the Fourth Proportional to 105,539.80, 158,079.30 and 81,981.40

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Solution

The fourth proportional to 105,539.80, 158,079.30 and 81,981.40 is: 122,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,539.80 : 158,079.30 = 81,981.40 : x
  2. Step 2: Convert to fraction form
    105,539.80/158,079.30 = 81,981.40/x
  3. Step 3: Cross multiply
    105,539.80x = 158,079.30 × 81,981.40
  4. Step 4: Simplify right side
    105,539.80x = 12,959,562,325.02
  5. Step 5: Solve for x
    x = 12,959,562,325.02/105,539.80
  6. Step 6: Final answer
    x = 122,793.13

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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.