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Finding the Fourth Proportional to 52,980.48, 79,449.86 and 19,238.51

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Solution

The fourth proportional to 52,980.48, 79,449.86 and 19,238.51 is: 28,850.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,980.48 : 79,449.86 = 19,238.51 : x
  2. Step 2: Convert to fraction form
    52,980.48/79,449.86 = 19,238.51/x
  3. Step 3: Cross multiply
    52,980.48x = 79,449.86 × 19,238.51
  4. Step 4: Simplify right side
    52,980.48x = 1,528,497,172.83
  5. Step 5: Solve for x
    x = 1,528,497,172.83/52,980.48
  6. Step 6: Final answer
    x = 28,850.19

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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.