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Finding the Fourth Proportional to 203,478.40, 305,363.40 and 114,637.60

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Solution

The fourth proportional to 203,478.40, 305,363.40 and 114,637.60 is: 172,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,478.40 : 305,363.40 = 114,637.60 : x
  2. Step 2: Convert to fraction form
    203,478.40/305,363.40 = 114,637.60/x
  3. Step 3: Cross multiply
    203,478.40x = 305,363.40 × 114,637.60
  4. Step 4: Simplify right side
    203,478.40x = 35,006,127,303.84
  5. Step 5: Solve for x
    x = 35,006,127,303.84/203,478.40
  6. Step 6: Final answer
    x = 172,038.54

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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.