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Finding the Fourth Proportional to 242,711.64, 334,943.60 and 135,288.48

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Solution

The fourth proportional to 242,711.64, 334,943.60 and 135,288.48 is: 186,698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,711.64 : 334,943.60 = 135,288.48 : x
  2. Step 2: Convert to fraction form
    242,711.64/334,943.60 = 135,288.48/x
  3. Step 3: Cross multiply
    242,711.64x = 334,943.60 × 135,288.48
  4. Step 4: Simplify right side
    242,711.64x = 45,314,010,529.73
  5. Step 5: Solve for x
    x = 45,314,010,529.73/242,711.64
  6. Step 6: Final answer
    x = 186,698.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.