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Finding the Fourth Proportional to 243,137.80, 335,536.50 and 135,707.32

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Solution

The fourth proportional to 243,137.80, 335,536.50 and 135,707.32 is: 187,279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,137.80 : 335,536.50 = 135,707.32 : x
  2. Step 2: Convert to fraction form
    243,137.80/335,536.50 = 135,707.32/x
  3. Step 3: Cross multiply
    243,137.80x = 335,536.50 × 135,707.32
  4. Step 4: Simplify right side
    243,137.80x = 45,534,759,177.18
  5. Step 5: Solve for x
    x = 45,534,759,177.18/243,137.80
  6. Step 6: Final answer
    x = 187,279.64

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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.