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Finding the Fourth Proportional to 242,732.70, 334,971.25 and 135,300.27

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Solution

The fourth proportional to 242,732.70, 334,971.25 and 135,300.27 is: 186,714.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,732.70 : 334,971.25 = 135,300.27 : x
  2. Step 2: Convert to fraction form
    242,732.70/334,971.25 = 135,300.27/x
  3. Step 3: Cross multiply
    242,732.70x = 334,971.25 × 135,300.27
  4. Step 4: Simplify right side
    242,732.70x = 45,321,701,485.13
  5. Step 5: Solve for x
    x = 45,321,701,485.13/242,732.70
  6. Step 6: Final answer
    x = 186,714.45

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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.