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Finding the Fourth Proportional to 206,762.20, 310,143.30 and 135,903.40

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Solution

The fourth proportional to 206,762.20, 310,143.30 and 135,903.40 is: 203,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,762.20 : 310,143.30 = 135,903.40 : x
  2. Step 2: Convert to fraction form
    206,762.20/310,143.30 = 135,903.40/x
  3. Step 3: Cross multiply
    206,762.20x = 310,143.30 × 135,903.40
  4. Step 4: Simplify right side
    206,762.20x = 42,149,528,957.22
  5. Step 5: Solve for x
    x = 42,149,528,957.22/206,762.20
  6. Step 6: Final answer
    x = 203,855.10

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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.