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Finding the Fourth Proportional to 242,963.09, 364,403.10 and 65,428.58

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Solution

The fourth proportional to 242,963.09, 364,403.10 and 65,428.58 is: 98,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,963.09 : 364,403.10 = 65,428.58 : x
  2. Step 2: Convert to fraction form
    242,963.09/364,403.10 = 65,428.58/x
  3. Step 3: Cross multiply
    242,963.09x = 364,403.10 × 65,428.58
  4. Step 4: Simplify right side
    242,963.09x = 23,842,377,380.60
  5. Step 5: Solve for x
    x = 23,842,377,380.60/242,963.09
  6. Step 6: Final answer
    x = 98,131.68

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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.