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Finding the Fourth Proportional to 47,985.36, 71,978.04 and 16,813.32

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Solution

The fourth proportional to 47,985.36, 71,978.04 and 16,813.32 is: 25,219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,985.36 : 71,978.04 = 16,813.32 : x
  2. Step 2: Convert to fraction form
    47,985.36/71,978.04 = 16,813.32/x
  3. Step 3: Cross multiply
    47,985.36x = 71,978.04 × 16,813.32
  4. Step 4: Simplify right side
    47,985.36x = 1,210,189,819.49
  5. Step 5: Solve for x
    x = 1,210,189,819.49/47,985.36
  6. Step 6: Final answer
    x = 25,219.98

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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.