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Finding the Fourth Proportional to 157,920, 236,917.44 and 47,114.88

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Solution

The fourth proportional to 157,920, 236,917.44 and 47,114.88 is: 70,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,920 : 236,917.44 = 47,114.88 : x
  2. Step 2: Convert to fraction form
    157,920/236,917.44 = 47,114.88/x
  3. Step 3: Cross multiply
    157,920x = 236,917.44 × 47,114.88
  4. Step 4: Simplify right side
    157,920x = 11,162,336,755.51
  5. Step 5: Solve for x
    x = 11,162,336,755.51/157,920
  6. Step 6: Final answer
    x = 70,683.49

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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.