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Finding the Fourth Proportional to 45,878.16, 68,714.52 and 39,878.16

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Solution

The fourth proportional to 45,878.16, 68,714.52 and 39,878.16 is: 59,727.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,878.16 : 68,714.52 = 39,878.16 : x
  2. Step 2: Convert to fraction form
    45,878.16/68,714.52 = 39,878.16/x
  3. Step 3: Cross multiply
    45,878.16x = 68,714.52 × 39,878.16
  4. Step 4: Simplify right side
    45,878.16x = 2,740,208,622.88
  5. Step 5: Solve for x
    x = 2,740,208,622.88/45,878.16
  6. Step 6: Final answer
    x = 59,727.95

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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.