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Finding the Fourth Proportional to 205,346.08, 308,166.56 and 87,050.56

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Solution

The fourth proportional to 205,346.08, 308,166.56 and 87,050.56 is: 130,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,346.08 : 308,166.56 = 87,050.56 : x
  2. Step 2: Convert to fraction form
    205,346.08/308,166.56 = 87,050.56/x
  3. Step 3: Cross multiply
    205,346.08x = 308,166.56 × 87,050.56
  4. Step 4: Simplify right side
    205,346.08x = 26,826,071,621.27
  5. Step 5: Solve for x
    x = 26,826,071,621.27/205,346.08
  6. Step 6: Final answer
    x = 130,638.34

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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.