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Finding the Fourth Proportional to 86,762, 119,731.56 and 47,018

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Solution

The fourth proportional to 86,762, 119,731.56 and 47,018 is: 64,884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,762 : 119,731.56 = 47,018 : x
  2. Step 2: Convert to fraction form
    86,762/119,731.56 = 47,018/x
  3. Step 3: Cross multiply
    86,762x = 119,731.56 × 47,018
  4. Step 4: Simplify right side
    86,762x = 5,629,538,488.08
  5. Step 5: Solve for x
    x = 5,629,538,488.08/86,762
  6. Step 6: Final answer
    x = 64,884.84

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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.