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Finding the Fourth Proportional to 113,871.36, 157,063.44 and 78,064.56

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Solution

The fourth proportional to 113,871.36, 157,063.44 and 78,064.56 is: 107,674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,871.36 : 157,063.44 = 78,064.56 : x
  2. Step 2: Convert to fraction form
    113,871.36/157,063.44 = 78,064.56/x
  3. Step 3: Cross multiply
    113,871.36x = 157,063.44 × 78,064.56
  4. Step 4: Simplify right side
    113,871.36x = 12,261,088,335.69
  5. Step 5: Solve for x
    x = 12,261,088,335.69/113,871.36
  6. Step 6: Final answer
    x = 107,674.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.