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Finding the Fourth Proportional to 157,718.80, 236,578.20 and 78,845.20

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Solution

The fourth proportional to 157,718.80, 236,578.20 and 78,845.20 is: 118,267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,718.80 : 236,578.20 = 78,845.20 : x
  2. Step 2: Convert to fraction form
    157,718.80/236,578.20 = 78,845.20/x
  3. Step 3: Cross multiply
    157,718.80x = 236,578.20 × 78,845.20
  4. Step 4: Simplify right side
    157,718.80x = 18,653,055,494.64
  5. Step 5: Solve for x
    x = 18,653,055,494.64/157,718.80
  6. Step 6: Final answer
    x = 118,267.80

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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.