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Finding the Fourth Proportional to 52,518.96, 78,755.40 and 19,230.40

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Solution

The fourth proportional to 52,518.96, 78,755.40 and 19,230.40 is: 28,837.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,518.96 : 78,755.40 = 19,230.40 : x
  2. Step 2: Convert to fraction form
    52,518.96/78,755.40 = 19,230.40/x
  3. Step 3: Cross multiply
    52,518.96x = 78,755.40 × 19,230.40
  4. Step 4: Simplify right side
    52,518.96x = 1,514,497,844.16
  5. Step 5: Solve for x
    x = 1,514,497,844.16/52,518.96
  6. Step 6: Final answer
    x = 28,837.16

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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.