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Finding the Fourth Proportional to 80,069.85, 120,050.10 and 37,970.10

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Solution

The fourth proportional to 80,069.85, 120,050.10 and 37,970.10 is: 56,929.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,069.85 : 120,050.10 = 37,970.10 : x
  2. Step 2: Convert to fraction form
    80,069.85/120,050.10 = 37,970.10/x
  3. Step 3: Cross multiply
    80,069.85x = 120,050.10 × 37,970.10
  4. Step 4: Simplify right side
    80,069.85x = 4,558,314,302.01
  5. Step 5: Solve for x
    x = 4,558,314,302.01/80,069.85
  6. Step 6: Final answer
    x = 56,929.22

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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.