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Finding the Fourth Proportional to 118,770.98, 163,911.74 and 77,959.53

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Solution

The fourth proportional to 118,770.98, 163,911.74 and 77,959.53 is: 107,589.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,770.98 : 163,911.74 = 77,959.53 : x
  2. Step 2: Convert to fraction form
    118,770.98/163,911.74 = 77,959.53/x
  3. Step 3: Cross multiply
    118,770.98x = 163,911.74 × 77,959.53
  4. Step 4: Simplify right side
    118,770.98x = 12,778,481,822.08
  5. Step 5: Solve for x
    x = 12,778,481,822.08/118,770.98
  6. Step 6: Final answer
    x = 107,589.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.