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Finding the Fourth Proportional to 157,199.70, 235,651.32 and 78,239.28

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Solution

The fourth proportional to 157,199.70, 235,651.32 and 78,239.28 is: 117,285.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,199.70 : 235,651.32 = 78,239.28 : x
  2. Step 2: Convert to fraction form
    157,199.70/235,651.32 = 78,239.28/x
  3. Step 3: Cross multiply
    157,199.70x = 235,651.32 × 78,239.28
  4. Step 4: Simplify right side
    157,199.70x = 18,437,189,607.85
  5. Step 5: Solve for x
    x = 18,437,189,607.85/157,199.70
  6. Step 6: Final answer
    x = 117,285.14

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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.