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Finding the Fourth Proportional to 52,070.31, 78,089.31 and 18,786.05

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Solution

The fourth proportional to 52,070.31, 78,089.31 and 18,786.05 is: 28,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,070.31 : 78,089.31 = 18,786.05 : x
  2. Step 2: Convert to fraction form
    52,070.31/78,089.31 = 18,786.05/x
  3. Step 3: Cross multiply
    52,070.31x = 78,089.31 × 18,786.05
  4. Step 4: Simplify right side
    52,070.31x = 1,466,989,291.68
  5. Step 5: Solve for x
    x = 1,466,989,291.68/52,070.31
  6. Step 6: Final answer
    x = 28,173.24

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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.