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Finding the Fourth Proportional to 205,087.30, 307,630.95 and 142,101.70

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Solution

The fourth proportional to 205,087.30, 307,630.95 and 142,101.70 is: 213,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,087.30 : 307,630.95 = 142,101.70 : x
  2. Step 2: Convert to fraction form
    205,087.30/307,630.95 = 142,101.70/x
  3. Step 3: Cross multiply
    205,087.30x = 307,630.95 × 142,101.70
  4. Step 4: Simplify right side
    205,087.30x = 43,714,880,967.62
  5. Step 5: Solve for x
    x = 43,714,880,967.62/205,087.30
  6. Step 6: Final answer
    x = 213,152.55

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1.5x scale

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.