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Finding the Fourth Proportional to 157,850.40, 217,824.24 and 86,216.16

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Solution

The fourth proportional to 157,850.40, 217,824.24 and 86,216.16 is: 118,973.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,850.40 : 217,824.24 = 86,216.16 : x
  2. Step 2: Convert to fraction form
    157,850.40/217,824.24 = 86,216.16/x
  3. Step 3: Cross multiply
    157,850.40x = 217,824.24 × 86,216.16
  4. Step 4: Simplify right side
    157,850.40x = 18,779,969,527.72
  5. Step 5: Solve for x
    x = 18,779,969,527.72/157,850.40
  6. Step 6: Final answer
    x = 118,973.21

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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.