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Finding the Fourth Proportional to 154,117, 231,175.50 and 43,309

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Solution

The fourth proportional to 154,117, 231,175.50 and 43,309 is: 64,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,117 : 231,175.50 = 43,309 : x
  2. Step 2: Convert to fraction form
    154,117/231,175.50 = 43,309/x
  3. Step 3: Cross multiply
    154,117x = 231,175.50 × 43,309
  4. Step 4: Simplify right side
    154,117x = 10,011,979,729.50
  5. Step 5: Solve for x
    x = 10,011,979,729.50/154,117
  6. Step 6: Final answer
    x = 64,963.50

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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.