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Finding the Fourth Proportional to 239,021.28, 358,473.60 and 98,820

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Solution

The fourth proportional to 239,021.28, 358,473.60 and 98,820 is: 148,205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,021.28 : 358,473.60 = 98,820 : x
  2. Step 2: Convert to fraction form
    239,021.28/358,473.60 = 98,820/x
  3. Step 3: Cross multiply
    239,021.28x = 358,473.60 × 98,820
  4. Step 4: Simplify right side
    239,021.28x = 35,424,361,152
  5. Step 5: Solve for x
    x = 35,424,361,152/239,021.28
  6. Step 6: Final answer
    x = 148,205.89

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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.