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Finding the Fourth Proportional to 52,357.65, 78,536.10 and 21,192.45

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Solution

The fourth proportional to 52,357.65, 78,536.10 and 21,192.45 is: 31,788.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,357.65 : 78,536.10 = 21,192.45 : x
  2. Step 2: Convert to fraction form
    52,357.65/78,536.10 = 21,192.45/x
  3. Step 3: Cross multiply
    52,357.65x = 78,536.10 × 21,192.45
  4. Step 4: Simplify right side
    52,357.65x = 1,664,372,372.45
  5. Step 5: Solve for x
    x = 1,664,372,372.45/52,357.65
  6. Step 6: Final answer
    x = 31,788.52

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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.