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Finding the Fourth Proportional to 242,568.68, 334,736.32 and 135,133.16

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Solution

The fourth proportional to 242,568.68, 334,736.32 and 135,133.16 is: 186,479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,568.68 : 334,736.32 = 135,133.16 : x
  2. Step 2: Convert to fraction form
    242,568.68/334,736.32 = 135,133.16/x
  3. Step 3: Cross multiply
    242,568.68x = 334,736.32 × 135,133.16
  4. Step 4: Simplify right side
    242,568.68x = 45,233,976,688.37
  5. Step 5: Solve for x
    x = 45,233,976,688.37/242,568.68
  6. Step 6: Final answer
    x = 186,479.05

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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.