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Finding the Fourth Proportional to 242,705.71, 334,935.43 and 135,282.55

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Solution

The fourth proportional to 242,705.71, 334,935.43 and 135,282.55 is: 186,690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,705.71 : 334,935.43 = 135,282.55 : x
  2. Step 2: Convert to fraction form
    242,705.71/334,935.43 = 135,282.55/x
  3. Step 3: Cross multiply
    242,705.71x = 334,935.43 × 135,282.55
  4. Step 4: Simplify right side
    242,705.71x = 45,310,919,055.75
  5. Step 5: Solve for x
    x = 45,310,919,055.75/242,705.71
  6. Step 6: Final answer
    x = 186,690.79

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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.