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Finding the Fourth Proportional to 137,908.93, 190,302.65 and 77,474.83

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Solution

The fourth proportional to 137,908.93, 190,302.65 and 77,474.83 is: 106,908.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,908.93 : 190,302.65 = 77,474.83 : x
  2. Step 2: Convert to fraction form
    137,908.93/190,302.65 = 77,474.83/x
  3. Step 3: Cross multiply
    137,908.93x = 190,302.65 × 77,474.83
  4. Step 4: Simplify right side
    137,908.93x = 14,743,664,505.79
  5. Step 5: Solve for x
    x = 14,743,664,505.79/137,908.93
  6. Step 6: Final answer
    x = 106,908.70

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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.