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Finding the Fourth Proportional to 203,829.40, 305,598.30 and 91,417.60

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Solution

The fourth proportional to 203,829.40, 305,598.30 and 91,417.60 is: 137,061.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,829.40 : 305,598.30 = 91,417.60 : x
  2. Step 2: Convert to fraction form
    203,829.40/305,598.30 = 91,417.60/x
  3. Step 3: Cross multiply
    203,829.40x = 305,598.30 × 91,417.60
  4. Step 4: Simplify right side
    203,829.40x = 27,937,063,150.08
  5. Step 5: Solve for x
    x = 27,937,063,150.08/203,829.40
  6. Step 6: Final answer
    x = 137,061.01

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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.