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Finding the Fourth Proportional to 52,012.80, 78,019.20 and 18,748.80

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Solution

The fourth proportional to 52,012.80, 78,019.20 and 18,748.80 is: 28,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,012.80 : 78,019.20 = 18,748.80 : x
  2. Step 2: Convert to fraction form
    52,012.80/78,019.20 = 18,748.80/x
  3. Step 3: Cross multiply
    52,012.80x = 78,019.20 × 18,748.80
  4. Step 4: Simplify right side
    52,012.80x = 1,462,766,376.96
  5. Step 5: Solve for x
    x = 1,462,766,376.96/52,012.80
  6. Step 6: Final answer
    x = 28,123.20

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1.5x scale

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.