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Finding the Fourth Proportional to 145,857.16, 218,493.90 and 115,921.91

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Solution

The fourth proportional to 145,857.16, 218,493.90 and 115,921.91 is: 173,650.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,857.16 : 218,493.90 = 115,921.91 : x
  2. Step 2: Convert to fraction form
    145,857.16/218,493.90 = 115,921.91/x
  3. Step 3: Cross multiply
    145,857.16x = 218,493.90 × 115,921.91
  4. Step 4: Simplify right side
    145,857.16x = 25,328,230,211.35
  5. Step 5: Solve for x
    x = 25,328,230,211.35/145,857.16
  6. Step 6: Final answer
    x = 173,650.92

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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.