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Finding the Fourth Proportional to 118,269, 163,238.64 and 77,990.04

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Solution

The fourth proportional to 118,269, 163,238.64 and 77,990.04 is: 107,644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,269 : 163,238.64 = 77,990.04 : x
  2. Step 2: Convert to fraction form
    118,269/163,238.64 = 77,990.04/x
  3. Step 3: Cross multiply
    118,269x = 163,238.64 × 77,990.04
  4. Step 4: Simplify right side
    118,269x = 12,730,988,063.15
  5. Step 5: Solve for x
    x = 12,730,988,063.15/118,269
  6. Step 6: Final answer
    x = 107,644.34

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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.