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Finding the Fourth Proportional to 137,384.59, 206,106.41 and 42,612.79

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Solution

The fourth proportional to 137,384.59, 206,106.41 and 42,612.79 is: 63,928.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,384.59 : 206,106.41 = 42,612.79 : x
  2. Step 2: Convert to fraction form
    137,384.59/206,106.41 = 42,612.79/x
  3. Step 3: Cross multiply
    137,384.59x = 206,106.41 × 42,612.79
  4. Step 4: Simplify right side
    137,384.59x = 8,782,769,166.98
  5. Step 5: Solve for x
    x = 8,782,769,166.98/137,384.59
  6. Step 6: Final answer
    x = 63,928.34

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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.