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Finding the Fourth Proportional to 137,311.80, 205,935.40 and 77,366.28

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Solution

The fourth proportional to 137,311.80, 205,935.40 and 77,366.28 is: 116,031.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,311.80 : 205,935.40 = 77,366.28 : x
  2. Step 2: Convert to fraction form
    137,311.80/205,935.40 = 77,366.28/x
  3. Step 3: Cross multiply
    137,311.80x = 205,935.40 × 77,366.28
  4. Step 4: Simplify right side
    137,311.80x = 15,932,455,818.31
  5. Step 5: Solve for x
    x = 15,932,455,818.31/137,311.80
  6. Step 6: Final answer
    x = 116,031.22

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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.