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Finding the Fourth Proportional to 323,738.72, 485,608.08 and 102,140

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Solution

The fourth proportional to 323,738.72, 485,608.08 and 102,140 is: 153,210.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,738.72 : 485,608.08 = 102,140 : x
  2. Step 2: Convert to fraction form
    323,738.72/485,608.08 = 102,140/x
  3. Step 3: Cross multiply
    323,738.72x = 485,608.08 × 102,140
  4. Step 4: Simplify right side
    323,738.72x = 49,600,009,291.20
  5. Step 5: Solve for x
    x = 49,600,009,291.20/323,738.72
  6. Step 6: Final answer
    x = 153,210.00

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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.