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Finding the Fourth Proportional to 52,655.64, 72,664.78 and 28,782.41

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Solution

The fourth proportional to 52,655.64, 72,664.78 and 28,782.41 is: 39,719.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,655.64 : 72,664.78 = 28,782.41 : x
  2. Step 2: Convert to fraction form
    52,655.64/72,664.78 = 28,782.41/x
  3. Step 3: Cross multiply
    52,655.64x = 72,664.78 × 28,782.41
  4. Step 4: Simplify right side
    52,655.64x = 2,091,467,490.52
  5. Step 5: Solve for x
    x = 2,091,467,490.52/52,655.64
  6. Step 6: Final answer
    x = 39,719.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.