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Finding the Fourth Proportional to 103,175.10, 154,672.65 and 40,038.30

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Solution

The fourth proportional to 103,175.10, 154,672.65 and 40,038.30 is: 60,022.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,175.10 : 154,672.65 = 40,038.30 : x
  2. Step 2: Convert to fraction form
    103,175.10/154,672.65 = 40,038.30/x
  3. Step 3: Cross multiply
    103,175.10x = 154,672.65 × 40,038.30
  4. Step 4: Simplify right side
    103,175.10x = 6,192,829,962.50
  5. Step 5: Solve for x
    x = 6,192,829,962.50/103,175.10
  6. Step 6: Final answer
    x = 60,022.52

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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.