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Finding the Fourth Proportional to 203,409.20, 280,810.32 and 157,985.48

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Solution

The fourth proportional to 203,409.20, 280,810.32 and 157,985.48 is: 218,102.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,409.20 : 280,810.32 = 157,985.48 : x
  2. Step 2: Convert to fraction form
    203,409.20/280,810.32 = 157,985.48/x
  3. Step 3: Cross multiply
    203,409.20x = 280,810.32 × 157,985.48
  4. Step 4: Simplify right side
    203,409.20x = 44,363,953,194.15
  5. Step 5: Solve for x
    x = 44,363,953,194.15/203,409.20
  6. Step 6: Final answer
    x = 218,102.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.