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Finding the Fourth Proportional to 157,527.56, 217,389.12 and 85,907

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Solution

The fourth proportional to 157,527.56, 217,389.12 and 85,907 is: 118,552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,527.56 : 217,389.12 = 85,907 : x
  2. Step 2: Convert to fraction form
    157,527.56/217,389.12 = 85,907/x
  3. Step 3: Cross multiply
    157,527.56x = 217,389.12 × 85,907
  4. Step 4: Simplify right side
    157,527.56x = 18,675,247,131.84
  5. Step 5: Solve for x
    x = 18,675,247,131.84/157,527.56
  6. Step 6: Final answer
    x = 118,552.25

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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.