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Finding the Fourth Proportional to 42,803.70, 64,212.39 and 13,214.58

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Solution

The fourth proportional to 42,803.70, 64,212.39 and 13,214.58 is: 19,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,803.70 : 64,212.39 = 13,214.58 : x
  2. Step 2: Convert to fraction form
    42,803.70/64,212.39 = 13,214.58/x
  3. Step 3: Cross multiply
    42,803.70x = 64,212.39 × 13,214.58
  4. Step 4: Simplify right side
    42,803.70x = 848,539,764.65
  5. Step 5: Solve for x
    x = 848,539,764.65/42,803.70
  6. Step 6: Final answer
    x = 19,823.98

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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.