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Finding the Fourth Proportional to 157,644.48, 236,541.12 and 78,765.12

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Solution

The fourth proportional to 157,644.48, 236,541.12 and 78,765.12 is: 118,184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,644.48 : 236,541.12 = 78,765.12 : x
  2. Step 2: Convert to fraction form
    157,644.48/236,541.12 = 78,765.12/x
  3. Step 3: Cross multiply
    157,644.48x = 236,541.12 × 78,765.12
  4. Step 4: Simplify right side
    157,644.48x = 18,631,189,701.73
  5. Step 5: Solve for x
    x = 18,631,189,701.73/157,644.48
  6. Step 6: Final answer
    x = 118,184.85

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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.