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Finding the Fourth Proportional to 86,929, 119,962.02 and 47,185

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Solution

The fourth proportional to 86,929, 119,962.02 and 47,185 is: 65,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,929 : 119,962.02 = 47,185 : x
  2. Step 2: Convert to fraction form
    86,929/119,962.02 = 47,185/x
  3. Step 3: Cross multiply
    86,929x = 119,962.02 × 47,185
  4. Step 4: Simplify right side
    86,929x = 5,660,407,913.70
  5. Step 5: Solve for x
    x = 5,660,407,913.70/86,929
  6. Step 6: Final answer
    x = 65,115.30

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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.