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Finding the Fourth Proportional to 242,675.73, 334,893.02 and 135,243.61

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Solution

The fourth proportional to 242,675.73, 334,893.02 and 135,243.61 is: 186,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,675.73 : 334,893.02 = 135,243.61 : x
  2. Step 2: Convert to fraction form
    242,675.73/334,893.02 = 135,243.61/x
  3. Step 3: Cross multiply
    242,675.73x = 334,893.02 × 135,243.61
  4. Step 4: Simplify right side
    242,675.73x = 45,292,139,475.15
  5. Step 5: Solve for x
    x = 45,292,139,475.15/242,675.73
  6. Step 6: Final answer
    x = 186,636.46

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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.