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Finding the Fourth Proportional to 70,814.30, 97,714.86 and 47,894.09

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Solution

The fourth proportional to 70,814.30, 97,714.86 and 47,894.09 is: 66,087.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,814.30 : 97,714.86 = 47,894.09 : x
  2. Step 2: Convert to fraction form
    70,814.30/97,714.86 = 47,894.09/x
  3. Step 3: Cross multiply
    70,814.30x = 97,714.86 × 47,894.09
  4. Step 4: Simplify right side
    70,814.30x = 4,679,963,631.00
  5. Step 5: Solve for x
    x = 4,679,963,631.00/70,814.30
  6. Step 6: Final answer
    x = 66,087.83

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Why These Related Problems?

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