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Finding the Fourth Proportional to 102,878.72, 154,318.08 and 40,548.80

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Solution

The fourth proportional to 102,878.72, 154,318.08 and 40,548.80 is: 60,823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,878.72 : 154,318.08 = 40,548.80 : x
  2. Step 2: Convert to fraction form
    102,878.72/154,318.08 = 40,548.80/x
  3. Step 3: Cross multiply
    102,878.72x = 154,318.08 × 40,548.80
  4. Step 4: Simplify right side
    102,878.72x = 6,257,412,962.30
  5. Step 5: Solve for x
    x = 6,257,412,962.30/102,878.72
  6. Step 6: Final answer
    x = 60,823.20

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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.