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Finding the Fourth Proportional to 45,184, 67,779.84 and 12,352

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Solution

The fourth proportional to 45,184, 67,779.84 and 12,352 is: 18,529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,184 : 67,779.84 = 12,352 : x
  2. Step 2: Convert to fraction form
    45,184/67,779.84 = 12,352/x
  3. Step 3: Cross multiply
    45,184x = 67,779.84 × 12,352
  4. Step 4: Simplify right side
    45,184x = 837,216,583.68
  5. Step 5: Solve for x
    x = 837,216,583.68/45,184
  6. Step 6: Final answer
    x = 18,529.05

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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.