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Finding the Fourth Proportional to 147,802.40, 221,660.40 and 53,021.60

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Solution

The fourth proportional to 147,802.40, 221,660.40 and 53,021.60 is: 79,516.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,802.40 : 221,660.40 = 53,021.60 : x
  2. Step 2: Convert to fraction form
    147,802.40/221,660.40 = 53,021.60/x
  3. Step 3: Cross multiply
    147,802.40x = 221,660.40 × 53,021.60
  4. Step 4: Simplify right side
    147,802.40x = 11,752,789,064.64
  5. Step 5: Solve for x
    x = 11,752,789,064.64/147,802.40
  6. Step 6: Final answer
    x = 79,516.90

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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.