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Finding the Fourth Proportional to 137,338.71, 205,975.80 and 77,393.31

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Solution

The fourth proportional to 137,338.71, 205,975.80 and 77,393.31 is: 116,071.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,338.71 : 205,975.80 = 77,393.31 : x
  2. Step 2: Convert to fraction form
    137,338.71/205,975.80 = 77,393.31/x
  3. Step 3: Cross multiply
    137,338.71x = 205,975.80 × 77,393.31
  4. Step 4: Simplify right side
    137,338.71x = 15,941,148,941.90
  5. Step 5: Solve for x
    x = 15,941,148,941.90/137,338.71
  6. Step 6: Final answer
    x = 116,071.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.