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Finding the Fourth Proportional to 139,869.64, 209,802.84 and 83,725.44

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Solution

The fourth proportional to 139,869.64, 209,802.84 and 83,725.44 is: 125,587.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,869.64 : 209,802.84 = 83,725.44 : x
  2. Step 2: Convert to fraction form
    139,869.64/209,802.84 = 83,725.44/x
  3. Step 3: Cross multiply
    139,869.64x = 209,802.84 × 83,725.44
  4. Step 4: Simplify right side
    139,869.64x = 17,565,835,092.25
  5. Step 5: Solve for x
    x = 17,565,835,092.25/139,869.64
  6. Step 6: Final answer
    x = 125,587.19

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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.