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Finding the Fourth Proportional to 243,319.32, 335,756.64 and 135,887

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Solution

The fourth proportional to 243,319.32, 335,756.64 and 135,887 is: 187,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,319.32 : 335,756.64 = 135,887 : x
  2. Step 2: Convert to fraction form
    243,319.32/335,756.64 = 135,887/x
  3. Step 3: Cross multiply
    243,319.32x = 335,756.64 × 135,887
  4. Step 4: Simplify right side
    243,319.32x = 45,624,962,539.68
  5. Step 5: Solve for x
    x = 45,624,962,539.68/243,319.32
  6. Step 6: Final answer
    x = 187,510.64

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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.