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Finding the Fourth Proportional to 154,259, 212,868.54 and 85,344.32

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Solution

The fourth proportional to 154,259, 212,868.54 and 85,344.32 is: 117,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,259 : 212,868.54 = 85,344.32 : x
  2. Step 2: Convert to fraction form
    154,259/212,868.54 = 85,344.32/x
  3. Step 3: Cross multiply
    154,259x = 212,868.54 × 85,344.32
  4. Step 4: Simplify right side
    154,259x = 18,167,120,795.69
  5. Step 5: Solve for x
    x = 18,167,120,795.69/154,259
  6. Step 6: Final answer
    x = 117,770.25

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1.5x scale

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.