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Finding the Fourth Proportional to 154,099, 212,656.62 and 83,443

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Solution

The fourth proportional to 154,099, 212,656.62 and 83,443 is: 115,151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,099 : 212,656.62 = 83,443 : x
  2. Step 2: Convert to fraction form
    154,099/212,656.62 = 83,443/x
  3. Step 3: Cross multiply
    154,099x = 212,656.62 × 83,443
  4. Step 4: Simplify right side
    154,099x = 17,744,706,342.66
  5. Step 5: Solve for x
    x = 17,744,706,342.66/154,099
  6. Step 6: Final answer
    x = 115,151.34

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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.