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Finding the Fourth Proportional to 52,652.25, 78,978.38 and 15,716.25

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Solution

The fourth proportional to 52,652.25, 78,978.38 and 15,716.25 is: 23,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,652.25 : 78,978.38 = 15,716.25 : x
  2. Step 2: Convert to fraction form
    52,652.25/78,978.38 = 15,716.25/x
  3. Step 3: Cross multiply
    52,652.25x = 78,978.38 × 15,716.25
  4. Step 4: Simplify right side
    52,652.25x = 1,241,243,886.09
  5. Step 5: Solve for x
    x = 1,241,243,886.09/52,652.25
  6. Step 6: Final answer
    x = 23,574.38

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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.