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Finding the Fourth Proportional to 54,877.60, 82,402.80 and 31,549.60

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Solution

The fourth proportional to 54,877.60, 82,402.80 and 31,549.60 is: 47,374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,877.60 : 82,402.80 = 31,549.60 : x
  2. Step 2: Convert to fraction form
    54,877.60/82,402.80 = 31,549.60/x
  3. Step 3: Cross multiply
    54,877.60x = 82,402.80 × 31,549.60
  4. Step 4: Simplify right side
    54,877.60x = 2,599,775,378.88
  5. Step 5: Solve for x
    x = 2,599,775,378.88/54,877.60
  6. Step 6: Final answer
    x = 47,374.07

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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.