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Finding the Fourth Proportional to 47,499, 71,248.50 and 19,797

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Solution

The fourth proportional to 47,499, 71,248.50 and 19,797 is: 29,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,499 : 71,248.50 = 19,797 : x
  2. Step 2: Convert to fraction form
    47,499/71,248.50 = 19,797/x
  3. Step 3: Cross multiply
    47,499x = 71,248.50 × 19,797
  4. Step 4: Simplify right side
    47,499x = 1,410,506,554.50
  5. Step 5: Solve for x
    x = 1,410,506,554.50/47,499
  6. Step 6: Final answer
    x = 29,695.50

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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.