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Finding the Fourth Proportional to 205,370.10, 307,921.95 and 87,009.30

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Solution

The fourth proportional to 205,370.10, 307,921.95 and 87,009.30 is: 130,457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,370.10 : 307,921.95 = 87,009.30 : x
  2. Step 2: Convert to fraction form
    205,370.10/307,921.95 = 87,009.30/x
  3. Step 3: Cross multiply
    205,370.10x = 307,921.95 × 87,009.30
  4. Step 4: Simplify right side
    205,370.10x = 26,792,073,324.14
  5. Step 5: Solve for x
    x = 26,792,073,324.14/205,370.10
  6. Step 6: Final answer
    x = 130,457.52

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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.