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Finding the Fourth Proportional to 242,704.96, 334,934.40 and 135,281.80

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Solution

The fourth proportional to 242,704.96, 334,934.40 and 135,281.80 is: 186,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,704.96 : 334,934.40 = 135,281.80 : x
  2. Step 2: Convert to fraction form
    242,704.96/334,934.40 = 135,281.80/x
  3. Step 3: Cross multiply
    242,704.96x = 334,934.40 × 135,281.80
  4. Step 4: Simplify right side
    242,704.96x = 45,310,527,837.51
  5. Step 5: Solve for x
    x = 45,310,527,837.51/242,704.96
  6. Step 6: Final answer
    x = 186,689.75

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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.