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Finding the Fourth Proportional to 52,139.80, 78,209.86 and 12,696.92

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Solution

The fourth proportional to 52,139.80, 78,209.86 and 12,696.92 is: 19,045.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,139.80 : 78,209.86 = 12,696.92 : x
  2. Step 2: Convert to fraction form
    52,139.80/78,209.86 = 12,696.92/x
  3. Step 3: Cross multiply
    52,139.80x = 78,209.86 × 12,696.92
  4. Step 4: Simplify right side
    52,139.80x = 993,024,335.63
  5. Step 5: Solve for x
    x = 993,024,335.63/52,139.80
  6. Step 6: Final answer
    x = 19,045.42

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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.