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Finding the Fourth Proportional to 102,912.48, 154,368.72 and 29,040.48

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Solution

The fourth proportional to 102,912.48, 154,368.72 and 29,040.48 is: 43,560.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,912.48 : 154,368.72 = 29,040.48 : x
  2. Step 2: Convert to fraction form
    102,912.48/154,368.72 = 29,040.48/x
  3. Step 3: Cross multiply
    102,912.48x = 154,368.72 × 29,040.48
  4. Step 4: Simplify right side
    102,912.48x = 4,482,941,725.79
  5. Step 5: Solve for x
    x = 4,482,941,725.79/102,912.48
  6. Step 6: Final answer
    x = 43,560.72

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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.