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Finding the Fourth Proportional to 242,841.60, 364,241.92 and 137,328.64

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Solution

The fourth proportional to 242,841.60, 364,241.92 and 137,328.64 is: 205,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,841.60 : 364,241.92 = 137,328.64 : x
  2. Step 2: Convert to fraction form
    242,841.60/364,241.92 = 137,328.64/x
  3. Step 3: Cross multiply
    242,841.60x = 364,241.92 × 137,328.64
  4. Step 4: Simplify right side
    242,841.60x = 50,020,847,504.59
  5. Step 5: Solve for x
    x = 50,020,847,504.59/242,841.60
  6. Step 6: Final answer
    x = 205,981.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.