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Finding the Fourth Proportional to 102,467.16, 141,404.58 and 57,149.16

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Solution

The fourth proportional to 102,467.16, 141,404.58 and 57,149.16 is: 78,865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,467.16 : 141,404.58 = 57,149.16 : x
  2. Step 2: Convert to fraction form
    102,467.16/141,404.58 = 57,149.16/x
  3. Step 3: Cross multiply
    102,467.16x = 141,404.58 × 57,149.16
  4. Step 4: Simplify right side
    102,467.16x = 8,081,152,967.15
  5. Step 5: Solve for x
    x = 8,081,152,967.15/102,467.16
  6. Step 6: Final answer
    x = 78,865.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.