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Finding the Fourth Proportional to 47,130.92, 70,677.66 and 20,817

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Solution

The fourth proportional to 47,130.92, 70,677.66 and 20,817 is: 31,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,130.92 : 70,677.66 = 20,817 : x
  2. Step 2: Convert to fraction form
    47,130.92/70,677.66 = 20,817/x
  3. Step 3: Cross multiply
    47,130.92x = 70,677.66 × 20,817
  4. Step 4: Simplify right side
    47,130.92x = 1,471,296,848.22
  5. Step 5: Solve for x
    x = 1,471,296,848.22/47,130.92
  6. Step 6: Final answer
    x = 31,217.23

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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.