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Finding the Fourth Proportional to 52,203.57, 78,305.45 and 12,760.71

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Solution

The fourth proportional to 52,203.57, 78,305.45 and 12,760.71 is: 19,141.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,203.57 : 78,305.45 = 12,760.71 : x
  2. Step 2: Convert to fraction form
    52,203.57/78,305.45 = 12,760.71/x
  3. Step 3: Cross multiply
    52,203.57x = 78,305.45 × 12,760.71
  4. Step 4: Simplify right side
    52,203.57x = 999,233,075.07
  5. Step 5: Solve for x
    x = 999,233,075.07/52,203.57
  6. Step 6: Final answer
    x = 19,141.09

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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.