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Finding the Fourth Proportional to 137,434.54, 206,200.95 and 84,782.74

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Solution

The fourth proportional to 137,434.54, 206,200.95 and 84,782.74 is: 127,204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,434.54 : 206,200.95 = 84,782.74 : x
  2. Step 2: Convert to fraction form
    137,434.54/206,200.95 = 84,782.74/x
  3. Step 3: Cross multiply
    137,434.54x = 206,200.95 × 84,782.74
  4. Step 4: Simplify right side
    137,434.54x = 17,482,281,531.60
  5. Step 5: Solve for x
    x = 17,482,281,531.60/137,434.54
  6. Step 6: Final answer
    x = 127,204.42

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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.