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Finding the Fourth Proportional to 105,652.86, 157,378.40 and 100,043.10

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Solution

The fourth proportional to 105,652.86, 157,378.40 and 100,043.10 is: 149,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,652.86 : 157,378.40 = 100,043.10 : x
  2. Step 2: Convert to fraction form
    105,652.86/157,378.40 = 100,043.10/x
  3. Step 3: Cross multiply
    105,652.86x = 157,378.40 × 100,043.10
  4. Step 4: Simplify right side
    105,652.86x = 15,744,622,508.82
  5. Step 5: Solve for x
    x = 15,744,622,508.82/105,652.86
  6. Step 6: Final answer
    x = 149,022.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.