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Finding the Fourth Proportional to 157,679.62, 236,353.32 and 78,627.77

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Solution

The fourth proportional to 157,679.62, 236,353.32 and 78,627.77 is: 117,858.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,679.62 : 236,353.32 = 78,627.77 : x
  2. Step 2: Convert to fraction form
    157,679.62/236,353.32 = 78,627.77/x
  3. Step 3: Cross multiply
    157,679.62x = 236,353.32 × 78,627.77
  4. Step 4: Simplify right side
    157,679.62x = 18,583,934,483.70
  5. Step 5: Solve for x
    x = 18,583,934,483.70/157,679.62
  6. Step 6: Final answer
    x = 117,858.82

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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.