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Finding the Fourth Proportional to 52,486.48, 78,737.04 and 19,200.40

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Solution

The fourth proportional to 52,486.48, 78,737.04 and 19,200.40 is: 28,803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,486.48 : 78,737.04 = 19,200.40 : x
  2. Step 2: Convert to fraction form
    52,486.48/78,737.04 = 19,200.40/x
  3. Step 3: Cross multiply
    52,486.48x = 78,737.04 × 19,200.40
  4. Step 4: Simplify right side
    52,486.48x = 1,511,782,662.82
  5. Step 5: Solve for x
    x = 1,511,782,662.82/52,486.48
  6. Step 6: Final answer
    x = 28,803.28

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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.