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Finding the Fourth Proportional to 48,498, 72,751.23 and 13,437.96

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Solution

The fourth proportional to 48,498, 72,751.23 and 13,437.96 is: 20,158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,498 : 72,751.23 = 13,437.96 : x
  2. Step 2: Convert to fraction form
    48,498/72,751.23 = 13,437.96/x
  3. Step 3: Cross multiply
    48,498x = 72,751.23 × 13,437.96
  4. Step 4: Simplify right side
    48,498x = 977,628,118.69
  5. Step 5: Solve for x
    x = 977,628,118.69/48,498
  6. Step 6: Final answer
    x = 20,158.11

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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.