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Finding the Fourth Proportional to 105,700, 158,550 and 31,828

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Solution

The fourth proportional to 105,700, 158,550 and 31,828 is: 47,742

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,700 : 158,550 = 31,828 : x
  2. Step 2: Convert to fraction form
    105,700/158,550 = 31,828/x
  3. Step 3: Cross multiply
    105,700x = 158,550 × 31,828
  4. Step 4: Simplify right side
    105,700x = 5,046,329,400
  5. Step 5: Solve for x
    x = 5,046,329,400/105,700
  6. Step 6: Final answer
    x = 47,742

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.