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Finding the Fourth Proportional to 205,152.28, 307,768.28 and 78,783.24

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Solution

The fourth proportional to 205,152.28, 307,768.28 and 78,783.24 is: 118,190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,152.28 : 307,768.28 = 78,783.24 : x
  2. Step 2: Convert to fraction form
    205,152.28/307,768.28 = 78,783.24/x
  3. Step 3: Cross multiply
    205,152.28x = 307,768.28 × 78,783.24
  4. Step 4: Simplify right side
    205,152.28x = 24,246,982,267.63
  5. Step 5: Solve for x
    x = 24,246,982,267.63/205,152.28
  6. Step 6: Final answer
    x = 118,190.17

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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.