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Finding the Fourth Proportional to 113,903.62, 157,188.69 and 66,157

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Solution

The fourth proportional to 113,903.62, 157,188.69 and 66,157 is: 91,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,903.62 : 157,188.69 = 66,157 : x
  2. Step 2: Convert to fraction form
    113,903.62/157,188.69 = 66,157/x
  3. Step 3: Cross multiply
    113,903.62x = 157,188.69 × 66,157
  4. Step 4: Simplify right side
    113,903.62x = 10,399,132,164.33
  5. Step 5: Solve for x
    x = 10,399,132,164.33/113,903.62
  6. Step 6: Final answer
    x = 91,297.64

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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.