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Finding the Fourth Proportional to 147,364.71, 221,201.69 and 130,605

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Solution

The fourth proportional to 147,364.71, 221,201.69 and 130,605 is: 196,044.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,364.71 : 221,201.69 = 130,605 : x
  2. Step 2: Convert to fraction form
    147,364.71/221,201.69 = 130,605/x
  3. Step 3: Cross multiply
    147,364.71x = 221,201.69 × 130,605
  4. Step 4: Simplify right side
    147,364.71x = 28,890,046,069.43
  5. Step 5: Solve for x
    x = 28,890,046,069.43/147,364.71
  6. Step 6: Final answer
    x = 196,044.54

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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.