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Finding the Fourth Proportional to 154,611.68, 231,914.16 and 42,291.88

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Solution

The fourth proportional to 154,611.68, 231,914.16 and 42,291.88 is: 63,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,611.68 : 231,914.16 = 42,291.88 : x
  2. Step 2: Convert to fraction form
    154,611.68/231,914.16 = 42,291.88/x
  3. Step 3: Cross multiply
    154,611.68x = 231,914.16 × 42,291.88
  4. Step 4: Simplify right side
    154,611.68x = 9,808,085,825.02
  5. Step 5: Solve for x
    x = 9,808,085,825.02/154,611.68
  6. Step 6: Final answer
    x = 63,436.90

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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.