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Finding the Fourth Proportional to 137,859.04, 190,232.04 and 77,415.96

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Solution

The fourth proportional to 137,859.04, 190,232.04 and 77,415.96 is: 106,826.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,859.04 : 190,232.04 = 77,415.96 : x
  2. Step 2: Convert to fraction form
    137,859.04/190,232.04 = 77,415.96/x
  3. Step 3: Cross multiply
    137,859.04x = 190,232.04 × 77,415.96
  4. Step 4: Simplify right side
    137,859.04x = 14,726,995,999.36
  5. Step 5: Solve for x
    x = 14,726,995,999.36/137,859.04
  6. Step 6: Final answer
    x = 106,826.48

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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.