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Finding the Fourth Proportional to 52,257.77, 78,332.97 and 20,654.99

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Solution

The fourth proportional to 52,257.77, 78,332.97 and 20,654.99 is: 30,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,257.77 : 78,332.97 = 20,654.99 : x
  2. Step 2: Convert to fraction form
    52,257.77/78,332.97 = 20,654.99/x
  3. Step 3: Cross multiply
    52,257.77x = 78,332.97 × 20,654.99
  4. Step 4: Simplify right side
    52,257.77x = 1,617,966,712.02
  5. Step 5: Solve for x
    x = 1,617,966,712.02/52,257.77
  6. Step 6: Final answer
    x = 30,961.27

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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.