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Finding the Fourth Proportional to 52,390.58, 78,585.09 and 12,947.69

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Solution

The fourth proportional to 52,390.58, 78,585.09 and 12,947.69 is: 19,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,390.58 : 78,585.09 = 12,947.69 : x
  2. Step 2: Convert to fraction form
    52,390.58/78,585.09 = 12,947.69/x
  3. Step 3: Cross multiply
    52,390.58x = 78,585.09 × 12,947.69
  4. Step 4: Simplify right side
    52,390.58x = 1,017,494,991.02
  5. Step 5: Solve for x
    x = 1,017,494,991.02/52,390.58
  6. Step 6: Final answer
    x = 19,421.34

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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.