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Finding the Fourth Proportional to 243,315.12, 364,888.14 and 135,409.14

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Solution

The fourth proportional to 243,315.12, 364,888.14 and 135,409.14 is: 203,066.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,315.12 : 364,888.14 = 135,409.14 : x
  2. Step 2: Convert to fraction form
    243,315.12/364,888.14 = 135,409.14/x
  3. Step 3: Cross multiply
    243,315.12x = 364,888.14 × 135,409.14
  4. Step 4: Simplify right side
    243,315.12x = 49,409,190,513.74
  5. Step 5: Solve for x
    x = 49,409,190,513.74/243,315.12
  6. Step 6: Final answer
    x = 203,066.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.