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Finding the Fourth Proportional to 157,046, 235,644.60 and 78,167.12

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Solution

The fourth proportional to 157,046, 235,644.60 and 78,167.12 is: 117,288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,046 : 235,644.60 = 78,167.12 : x
  2. Step 2: Convert to fraction form
    157,046/235,644.60 = 78,167.12/x
  3. Step 3: Cross multiply
    157,046x = 235,644.60 × 78,167.12
  4. Step 4: Simplify right side
    157,046x = 18,419,659,725.55
  5. Step 5: Solve for x
    x = 18,419,659,725.55/157,046
  6. Step 6: Final answer
    x = 117,288.31

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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.