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Finding the Fourth Proportional to 138,645.84, 207,902.88 and 72,019.20

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Solution

The fourth proportional to 138,645.84, 207,902.88 and 72,019.20 is: 107,994.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,645.84 : 207,902.88 = 72,019.20 : x
  2. Step 2: Convert to fraction form
    138,645.84/207,902.88 = 72,019.20/x
  3. Step 3: Cross multiply
    138,645.84x = 207,902.88 × 72,019.20
  4. Step 4: Simplify right side
    138,645.84x = 14,972,999,095.30
  5. Step 5: Solve for x
    x = 14,972,999,095.30/138,645.84
  6. Step 6: Final answer
    x = 107,994.58

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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.