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Finding the Fourth Proportional to 52,203.63, 78,304.77 and 12,761.09

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Solution

The fourth proportional to 52,203.63, 78,304.77 and 12,761.09 is: 19,141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,203.63 : 78,304.77 = 12,761.09 : x
  2. Step 2: Convert to fraction form
    52,203.63/78,304.77 = 12,761.09/x
  3. Step 3: Cross multiply
    52,203.63x = 78,304.77 × 12,761.09
  4. Step 4: Simplify right side
    52,203.63x = 999,254,217.40
  5. Step 5: Solve for x
    x = 999,254,217.40/52,203.63
  6. Step 6: Final answer
    x = 19,141.47

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1.5x scale

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.