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Finding the Fourth Proportional to 157,644.98, 236,541.87 and 78,765.62

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Solution

The fourth proportional to 157,644.98, 236,541.87 and 78,765.62 is: 118,185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,644.98 : 236,541.87 = 78,765.62 : x
  2. Step 2: Convert to fraction form
    157,644.98/236,541.87 = 78,765.62/x
  3. Step 3: Cross multiply
    157,644.98x = 236,541.87 × 78,765.62
  4. Step 4: Simplify right side
    157,644.98x = 18,631,367,046.51
  5. Step 5: Solve for x
    x = 18,631,367,046.51/157,644.98
  6. Step 6: Final answer
    x = 118,185.60

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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.