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Finding the Fourth Proportional to 52,017.21, 77,978.99 and 18,713.90

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Solution

The fourth proportional to 52,017.21, 77,978.99 and 18,713.90 is: 28,054.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,017.21 : 77,978.99 = 18,713.90 : x
  2. Step 2: Convert to fraction form
    52,017.21/77,978.99 = 18,713.90/x
  3. Step 3: Cross multiply
    52,017.21x = 77,978.99 × 18,713.90
  4. Step 4: Simplify right side
    52,017.21x = 1,459,291,262.69
  5. Step 5: Solve for x
    x = 1,459,291,262.69/52,017.21
  6. Step 6: Final answer
    x = 28,054.01

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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.