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Finding the Fourth Proportional to 48,045.32, 72,069.80 and 12,984.98

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Solution

The fourth proportional to 48,045.32, 72,069.80 and 12,984.98 is: 19,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,045.32 : 72,069.80 = 12,984.98 : x
  2. Step 2: Convert to fraction form
    48,045.32/72,069.80 = 12,984.98/x
  3. Step 3: Cross multiply
    48,045.32x = 72,069.80 × 12,984.98
  4. Step 4: Simplify right side
    48,045.32x = 935,825,026.85
  5. Step 5: Solve for x
    x = 935,825,026.85/48,045.32
  6. Step 6: Final answer
    x = 19,477.97

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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.