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Finding the Fourth Proportional to 147,842.10, 221,435.10 and 128,159.10

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Solution

The fourth proportional to 147,842.10, 221,435.10 and 128,159.10 is: 191,954.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,842.10 : 221,435.10 = 128,159.10 : x
  2. Step 2: Convert to fraction form
    147,842.10/221,435.10 = 128,159.10/x
  3. Step 3: Cross multiply
    147,842.10x = 221,435.10 × 128,159.10
  4. Step 4: Simplify right side
    147,842.10x = 28,378,923,124.41
  5. Step 5: Solve for x
    x = 28,378,923,124.41/147,842.10
  6. Step 6: Final answer
    x = 191,954.28

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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.