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Finding the Fourth Proportional to 154,314, 212,954.60 and 83,658

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Solution

The fourth proportional to 154,314, 212,954.60 and 83,658 is: 115,448.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,314 : 212,954.60 = 83,658 : x
  2. Step 2: Convert to fraction form
    154,314/212,954.60 = 83,658/x
  3. Step 3: Cross multiply
    154,314x = 212,954.60 × 83,658
  4. Step 4: Simplify right side
    154,314x = 17,815,355,926.80
  5. Step 5: Solve for x
    x = 17,815,355,926.80/154,314
  6. Step 6: Final answer
    x = 115,448.73

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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.