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Finding the Fourth Proportional to 54,502.60, 81,638.70 and 48,665.80

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Solution

The fourth proportional to 54,502.60, 81,638.70 and 48,665.80 is: 72,895.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,502.60 : 81,638.70 = 48,665.80 : x
  2. Step 2: Convert to fraction form
    54,502.60/81,638.70 = 48,665.80/x
  3. Step 3: Cross multiply
    54,502.60x = 81,638.70 × 48,665.80
  4. Step 4: Simplify right side
    54,502.60x = 3,973,012,646.46
  5. Step 5: Solve for x
    x = 3,973,012,646.46/54,502.60
  6. Step 6: Final answer
    x = 72,895.84

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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.