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Finding the Fourth Proportional to 154,120, 231,180 and 43,312

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Solution

The fourth proportional to 154,120, 231,180 and 43,312 is: 64,968

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,120 : 231,180 = 43,312 : x
  2. Step 2: Convert to fraction form
    154,120/231,180 = 43,312/x
  3. Step 3: Cross multiply
    154,120x = 231,180 × 43,312
  4. Step 4: Simplify right side
    154,120x = 10,012,868,160
  5. Step 5: Solve for x
    x = 10,012,868,160/154,120
  6. Step 6: Final answer
    x = 64,968

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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.