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Finding the Fourth Proportional to 154,459, 231,706.86 and 54,598.60

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Solution

The fourth proportional to 154,459, 231,706.86 and 54,598.60 is: 81,904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,459 : 231,706.86 = 54,598.60 : x
  2. Step 2: Convert to fraction form
    154,459/231,706.86 = 54,598.60/x
  3. Step 3: Cross multiply
    154,459x = 231,706.86 × 54,598.60
  4. Step 4: Simplify right side
    154,459x = 12,650,870,166.40
  5. Step 5: Solve for x
    x = 12,650,870,166.40/154,459
  6. Step 6: Final answer
    x = 81,904.39

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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.