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Finding the Fourth Proportional to 205,103.40, 307,655.10 and 86,735.40

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Solution

The fourth proportional to 205,103.40, 307,655.10 and 86,735.40 is: 130,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,103.40 : 307,655.10 = 86,735.40 : x
  2. Step 2: Convert to fraction form
    205,103.40/307,655.10 = 86,735.40/x
  3. Step 3: Cross multiply
    205,103.40x = 307,655.10 × 86,735.40
  4. Step 4: Simplify right side
    205,103.40x = 26,684,588,160.54
  5. Step 5: Solve for x
    x = 26,684,588,160.54/205,103.40
  6. Step 6: Final answer
    x = 130,103.10

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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.