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Finding the Fourth Proportional to 105,816.30, 158,724.45 and 98,817.90

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Solution

The fourth proportional to 105,816.30, 158,724.45 and 98,817.90 is: 148,226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,816.30 : 158,724.45 = 98,817.90 : x
  2. Step 2: Convert to fraction form
    105,816.30/158,724.45 = 98,817.90/x
  3. Step 3: Cross multiply
    105,816.30x = 158,724.45 × 98,817.90
  4. Step 4: Simplify right side
    105,816.30x = 15,684,816,827.66
  5. Step 5: Solve for x
    x = 15,684,816,827.66/105,816.30
  6. Step 6: Final answer
    x = 148,226.85

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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.