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Finding the Fourth Proportional to 105,894, 158,807.32 and 34,800.23

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Solution

The fourth proportional to 105,894, 158,807.32 and 34,800.23 is: 52,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,894 : 158,807.32 = 34,800.23 : x
  2. Step 2: Convert to fraction form
    105,894/158,807.32 = 34,800.23/x
  3. Step 3: Cross multiply
    105,894x = 158,807.32 × 34,800.23
  4. Step 4: Simplify right side
    105,894x = 5,526,531,571.70
  5. Step 5: Solve for x
    x = 5,526,531,571.70/105,894
  6. Step 6: Final answer
    x = 52,189.28

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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.