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Finding the Fourth Proportional to 105,814.40, 158,730.80 and 34,715.70

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Solution

The fourth proportional to 105,814.40, 158,730.80 and 34,715.70 is: 52,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,814.40 : 158,730.80 = 34,715.70 : x
  2. Step 2: Convert to fraction form
    105,814.40/158,730.80 = 34,715.70/x
  3. Step 3: Cross multiply
    105,814.40x = 158,730.80 × 34,715.70
  4. Step 4: Simplify right side
    105,814.40x = 5,510,450,659.98
  5. Step 5: Solve for x
    x = 5,510,450,659.98/105,814.40
  6. Step 6: Final answer
    x = 52,076.57

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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.