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Finding the Fourth Proportional to 93,375, 140,063.72 and 31,045.50

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Solution

The fourth proportional to 93,375, 140,063.72 and 31,045.50 is: 46,568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,375 : 140,063.72 = 31,045.50 : x
  2. Step 2: Convert to fraction form
    93,375/140,063.72 = 31,045.50/x
  3. Step 3: Cross multiply
    93,375x = 140,063.72 × 31,045.50
  4. Step 4: Simplify right side
    93,375x = 4,348,348,064.03
  5. Step 5: Solve for x
    x = 4,348,348,064.03/93,375
  6. Step 6: Final answer
    x = 46,568.65

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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.