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Finding the Fourth Proportional to 86,817, 119,807.46 and 47,073

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Solution

The fourth proportional to 86,817, 119,807.46 and 47,073 is: 64,960.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,817 : 119,807.46 = 47,073 : x
  2. Step 2: Convert to fraction form
    86,817/119,807.46 = 47,073/x
  3. Step 3: Cross multiply
    86,817x = 119,807.46 × 47,073
  4. Step 4: Simplify right side
    86,817x = 5,639,696,564.58
  5. Step 5: Solve for x
    x = 5,639,696,564.58/86,817
  6. Step 6: Final answer
    x = 64,960.74

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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.