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Finding the Fourth Proportional to 137,703.80, 190,015.62 and 77,261.84

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Solution

The fourth proportional to 137,703.80, 190,015.62 and 77,261.84 is: 106,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,703.80 : 190,015.62 = 77,261.84 : x
  2. Step 2: Convert to fraction form
    137,703.80/190,015.62 = 77,261.84/x
  3. Step 3: Cross multiply
    137,703.80x = 190,015.62 × 77,261.84
  4. Step 4: Simplify right side
    137,703.80x = 14,680,956,429.94
  5. Step 5: Solve for x
    x = 14,680,956,429.94/137,703.80
  6. Step 6: Final answer
    x = 106,612.57

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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.