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Finding the Fourth Proportional to 105,253.97, 157,993.31 and 45,312.10

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Solution

The fourth proportional to 105,253.97, 157,993.31 and 45,312.10 is: 68,016.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,253.97 : 157,993.31 = 45,312.10 : x
  2. Step 2: Convert to fraction form
    105,253.97/157,993.31 = 45,312.10/x
  3. Step 3: Cross multiply
    105,253.97x = 157,993.31 × 45,312.10
  4. Step 4: Simplify right side
    105,253.97x = 7,159,008,380.35
  5. Step 5: Solve for x
    x = 7,159,008,380.35/105,253.97
  6. Step 6: Final answer
    x = 68,016.52

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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.