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Finding the Fourth Proportional to 242,570.68, 334,739.10 and 135,135.16

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Solution

The fourth proportional to 242,570.68, 334,739.10 and 135,135.16 is: 186,481.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,570.68 : 334,739.10 = 135,135.16 : x
  2. Step 2: Convert to fraction form
    242,570.68/334,739.10 = 135,135.16/x
  3. Step 3: Cross multiply
    242,570.68x = 334,739.10 × 135,135.16
  4. Step 4: Simplify right side
    242,570.68x = 45,235,021,836.76
  5. Step 5: Solve for x
    x = 45,235,021,836.76/242,570.68
  6. Step 6: Final answer
    x = 186,481.82

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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.