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Finding the Fourth Proportional to 242,530.67, 334,702.68 and 135,100.78

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Solution

The fourth proportional to 242,530.67, 334,702.68 and 135,100.78 is: 186,444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,530.67 : 334,702.68 = 135,100.78 : x
  2. Step 2: Convert to fraction form
    242,530.67/334,702.68 = 135,100.78/x
  3. Step 3: Cross multiply
    242,530.67x = 334,702.68 × 135,100.78
  4. Step 4: Simplify right side
    242,530.67x = 45,218,593,136.09
  5. Step 5: Solve for x
    x = 45,218,593,136.09/242,530.67
  6. Step 6: Final answer
    x = 186,444.84

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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.