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Finding the Fourth Proportional to 118,672.66, 163,815.51 and 77,852.31

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Solution

The fourth proportional to 118,672.66, 163,815.51 and 77,852.31 is: 107,467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,672.66 : 163,815.51 = 77,852.31 : x
  2. Step 2: Convert to fraction form
    118,672.66/163,815.51 = 77,852.31/x
  3. Step 3: Cross multiply
    118,672.66x = 163,815.51 × 77,852.31
  4. Step 4: Simplify right side
    118,672.66x = 12,753,415,048.25
  5. Step 5: Solve for x
    x = 12,753,415,048.25/118,672.66
  6. Step 6: Final answer
    x = 107,467.17

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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.