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Finding the Fourth Proportional to 157,072, 235,683.60 and 78,193.12

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Solution

The fourth proportional to 157,072, 235,683.60 and 78,193.12 is: 117,327.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,072 : 235,683.60 = 78,193.12 : x
  2. Step 2: Convert to fraction form
    157,072/235,683.60 = 78,193.12/x
  3. Step 3: Cross multiply
    157,072x = 235,683.60 × 78,193.12
  4. Step 4: Simplify right side
    157,072x = 18,428,836,016.83
  5. Step 5: Solve for x
    x = 18,428,836,016.83/157,072
  6. Step 6: Final answer
    x = 117,327.31

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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.