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Finding the Fourth Proportional to 205,106.60, 307,659.90 and 64,908.20

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Solution

The fourth proportional to 205,106.60, 307,659.90 and 64,908.20 is: 97,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,106.60 : 307,659.90 = 64,908.20 : x
  2. Step 2: Convert to fraction form
    205,106.60/307,659.90 = 64,908.20/x
  3. Step 3: Cross multiply
    205,106.60x = 307,659.90 × 64,908.20
  4. Step 4: Simplify right side
    205,106.60x = 19,969,650,321.18
  5. Step 5: Solve for x
    x = 19,969,650,321.18/205,106.60
  6. Step 6: Final answer
    x = 97,362.30

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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.