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Finding the Fourth Proportional to 205,101.30, 307,133.55 and 134,598.90

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Solution

The fourth proportional to 205,101.30, 307,133.55 and 134,598.90 is: 201,558.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,101.30 : 307,133.55 = 134,598.90 : x
  2. Step 2: Convert to fraction form
    205,101.30/307,133.55 = 134,598.90/x
  3. Step 3: Cross multiply
    205,101.30x = 307,133.55 × 134,598.90
  4. Step 4: Simplify right side
    205,101.30x = 41,339,837,983.10
  5. Step 5: Solve for x
    x = 41,339,837,983.10/205,101.30
  6. Step 6: Final answer
    x = 201,558.15

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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.