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Finding the Fourth Proportional to 112,234.88, 168,448.96 and 45,712

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Solution

The fourth proportional to 112,234.88, 168,448.96 and 45,712 is: 68,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,234.88 : 168,448.96 = 45,712 : x
  2. Step 2: Convert to fraction form
    112,234.88/168,448.96 = 45,712/x
  3. Step 3: Cross multiply
    112,234.88x = 168,448.96 × 45,712
  4. Step 4: Simplify right side
    112,234.88x = 7,700,138,859.52
  5. Step 5: Solve for x
    x = 7,700,138,859.52/112,234.88
  6. Step 6: Final answer
    x = 68,607.36

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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.